How to solve an inverse of matrices

You can jump to the end of the post for you answer.
A. Define the matrix (Create it)

Turn calculator ON.
Press Menu,select the MAT icon and press [EXE]
You see a list of possible matrix labels (A, B, C,D,E,F)
All that have not been created have a "none" to their right
Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
That is where you specify the dimensions (mxn). exemple. 2x2
Enter the first dimension and press [EXE]
Enter the 2nd dimension and press [EXE]
A matrix template opens where you enter the coefficients left to right and up down.
After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.

At the bottom of the screen you have 3 menus for Row and column manipulations. But those will have to wait for now.
Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B. Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..

These operations are accessed as follows.
Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
Press [OPTN][F2:MAT]
You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill

Exemple : calculate the determinant of a matrix A (already defined).

You press the [OPTN][F2:MAT] key sequence (just above)
Press [F3:Det]; the command det is displayed on screen.
Press [F1:Mat] the identifier Mat is displayed.
Press [ALPHA] A; screen display det Mat A.
Press [EXE] to get the value of the determinant.

C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB
[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]

E. Calculate the inverse of a square matrix (Mat A)
Use commands like the ones above to display the command Mat A, the press the [x^-1] key. You will get the inverse if matrix can be inverted.

Here is enough to get you started and a little more.
Read the post ant consult your calculator manual. The screen captures below may not look exactly as your calculator but the steps are identical.

A. Define a matrix (Create it)

1. Turn calculator ON.
   
2. Press Menu,select the MAT icon and press [EXE]
3. You see a list of possible matrix labels (A, B, C,D,E,F)
4. All that have not been created have a "none" to their right
5. Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
6. That is where you specify the dimensions (mxn). example. 2x2
7. Enter the first dimension and press [EXE]
8. Enter the 2nd dimension and press [EXE]
9. A matrix template opens where you enter the coefficients left to right and up down.
10. After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.

Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..

1. These operations are accessed as follows.
2. Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
   
3. Press [OPTN][F2:MAT]
4. You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill

Example : calculate the determinant of a matrix A (already defined).

1. You press the [OPTN][F2:MAT] key sequence (just above)
2. Press [F3:Det]; the command det is displayed on screen.
3. Press [F1:Mat] the identifier Mat is displayed.
4. Press [ALPHA] A; screen display det Mat A.
5. Press [EXE] to get the value of the determinant.

C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB
[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]



Part E Invert a (square, non singular) matrix that was already defined.

Press [OPTN] [F2:Mat] to open a screen similar to the one in capture above
Press [F1:Mat] to have identifier Mat displayed.
Enter the name of the matrix by pressing [ALPHA] A, for example.
Press [SHIFT] [ ) ] activate the (x^-1) key.

This is what you might see (with parentheses and without).


Press [EXE] button to calculate the inverse.

Here is enough to get you started and a little more.
Read the post ant consult your calculator manual.
How to calculate the determinant of a (square, non-singular) matrix is described in part B

A. Define a matrix (Create it)

1. Turn calculator ON.
   
2. Press Menu,select the MAT icon and press [EXE]
3. You see a list of possible matrix labels (A, B, C,D,E,F)
4. All that have not been created have a "none" to their right
5. Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
6. That is where you specify the dimensions (mxn). example. 2x2
7. Enter the first dimension and press [EXE]
8. Enter the 2nd dimension and press [EXE]
9. A matrix template opens where you enter the coefficients left to right and up down.
10. After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.

Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..

1. These operations are accessed as follows.
2. Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
   
3. Press [OPTN][F2:MAT]
4. You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill

Example : calculate the determinant of a matrix A (already defined).

1. You press the [OPTN][F2:MAT] key sequence (just above)
2. Press [F3:Det]; the command det is displayed on screen.
3. Press [F1:Mat] the identifier Mat is displayed.
4. Press [ALPHA] A; screen display det Mat A.
5. Press [EXE] to get the value of the determinant.

C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB
[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]



Part E Invert a (square, non singular) matrix that was already defined.

Press [OPTN] [F2:Mat] to open a screen similar to the one in capture above
Press [F1:Mat] to have identifier Mat displayed.
Enter the name of the matrix by pressing [ALPHA] A, for example.
Press [SHIFT] [ ) ] activate the (x^-1) key.

This is what you might see (with parentheses and without).


Press [EXE] button to calculate the inverse.

Here is enough to get you started and a little more.
Read the post ant consult your calculator manual. The screen captures below may not look exactly as your calculator but the steps are identical.

A. Define a matrix (Create it)

1. Turn calculator ON.
   
2. Press Menu,select the MAT icon and press [EXE]
3. You see a list of possible matrix labels (A, B, C,D,E,F)
4. All that have not been created have a "none" to their right
5. Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
6. That is where you specify the dimensions (mxn). example. 2x2
7. Enter the first dimension and press [EXE]
8. Enter the 2nd dimension and press [EXE]
9. A matrix template opens where you enter the coefficients left to right and up down.
10. After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.

Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..

1. These operations are accessed as follows.
2. Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
   
3. Press [OPTN][F2:MAT]
4. You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill

Example : calculate the determinant of a matrix A (already defined).

1. You press the [OPTN][F2:MAT] key sequence (just above)
2. Press [F3:Det]; the command det is displayed on screen.
3. Press [F1:Mat] the identifier Mat is displayed.
4. Press [ALPHA] A; screen display det Mat A.
5. Press [EXE] to get the value of the determinant.

C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB
[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]



Part E Invert a (square, non singular) matrix that was already defined.

Press [OPTN] [F2:Mat] to open a screen similar to the one in capture above
Press [F1:Mat] to have identifier Mat displayed.
Enter the name of the matrix by pressing [ALPHA] A, for example.
Press [SHIFT] [ ) ] activate the (x^-1) key.

This is what you might see (with parentheses and without).


Press [EXE] button to calculate the inverse.

Here is enough to get you started and a little more.
Read the post ant consult your calculator manual. The screen captures below may not look exactly as your calculator but the steps are identical.

A. Define a matrix (Create it)

1. Turn calculator ON.
   
2. Press Menu,select the MAT icon and press [EXE]
3. You see a list of possible matrix labels (A, B, C,D,E,F)
4. All that have not been created have a "none" to their right
5. Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
6. That is where you specify the dimensions (mxn). example. 2x2
7. Enter the first dimension and press [EXE]
8. Enter the 2nd dimension and press [EXE]
9. A matrix template opens where you enter the coefficients left to right and up down.
10. After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.

At the bottom of the screen you have 3 menus for Row and column manipulations. But those will have to wait for now.
Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..

1. These operations are accessed as follows.
2. Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
   
3. Press [OPTN][F2:MAT]
4. You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill

Example : calculate the determinant of a matrix A (already defined).

1. You press the [OPTN][F2:MAT] key sequence (just above)
2. Press [F3:Det]; the command det is displayed on screen.
3. Press [F1:Mat] the identifier Mat is displayed.
4. Press [ALPHA] A; screen display det Mat A.
5. Press [EXE] to get the value of the determinant.

C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB
[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]



Part E Invert a (square, non singular) matrix that was already defined.

Press [OPTN] [F2:Mat] to open a screen similar to the one in capture above
Press [F1:Mat] to have identifier Mat displayed.
Enter the name of the matrix by pressing [ALPHA] A, for example.
Press [SHIFT] [ ) ] activate the (x^-1) key.

This is what you might see (with parentheses and without).


Press [EXE] button to calculate the inverse.

Sorry if post is too long. Skim through it to find the inverse of a matrix in part at the end:Part E

Note: Matrix must be square (nXn) and non singular (its determinant not equal to zero)

A. Define a matrix (Create it)

1. Turn calculator ON.
   
2. Press Menu,select the MAT icon and press [EXE]
3. You see a list of possible matrix labels (A, B, C,D,E,F)
4. All that have not been created have a "none" to their right
5. Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
6. That is where you specify the dimensions (mxn). example. 2x2
7. Enter the first dimension and press [EXE]
8. Enter the 2nd dimension and press [EXE]
9. A matrix template opens where you enter the coefficients left to right and up down.
10. After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.

At the bottom of the screen you have 3 menus for Row and column manipulations. But those will have to wait for now.
Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..

1. These operations are accessed as follows.
2. Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
   
3. Press [OPTN][F2:MAT]
4. You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill

Example : calculate the determinant of a matrix A (already defined).

1. You press the [OPTN][F2:MAT] key sequence (just above)
2. Press [F3:Det]; the command det is displayed on screen.
3. Press [F1:Mat] the identifier Mat is displayed.
4. Press [ALPHA] A; screen display det Mat A.
5. Press [EXE] to get the value of the determinant.

C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB
[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]



Part E Invert a (square, non singular) matrix that was already defined.

Press [OPTN] [F2:Mat] to open a screen similar to the one in capture above
Press [F1:Mat] to have identifier Mat displayed.
Enter the name of the matrix by pressing [ALPHA] A, for example.
Press [SHIFT] [ ) ] activate the (x^-1) key.

This is what you might see (with parentheses and without).


Press [EXE] button to calculate the inverse.

Here is a small sample of things you can do with matrices.

A. Define a matrix (Create it)

1. Turn calculator ON.
   
2. Press Menu,select the MAT icon and press [EXE]
3. You see a list of possible matrix labels (A, B, C,D,E,F)
4. All that have not been created have a "none" to their right
5. Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
6. That is where you specify the dimensions (mxn). example. 2x2
7. Enter the first dimension and press [EXE]
8. Enter the 2nd dimension and press [EXE]
9. A matrix template opens where you enter the coefficients left to right and up down.
10. After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.

At the bottom of the screen you have 3 menus for Row and column manipulations. But those will have to wait for now.
Press [SHIFT][QUIT] to return to the list of matrices to create new ones

B Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..

1. These operations are accessed as follows.
2. Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
   
3. Press [OPTN][F2:MAT]
4. You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill

Example : calculate the determinant of a matrix A (already defined).

1. You press the [OPTN][F2:MAT] key sequence (just above)
2. Press [F3:Det]; the command det is displayed on screen.
3. Press [F1:Mat] the identifier Mat is displayed.
4. Press [ALPHA] A; screen display det Mat A.
5. Press [EXE] to get the value of the determinant.

C. Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]

D. Product of two compatible matrices MatAXMatB
[OPTN][F2:MAT] (MAT) [Alpha] A [*] (MAT) [ALPHA] B [EXE]



Press the F6 key to access other functions.

I am afraid that "find the solution of a matrix" does not mean anything. However if you want to perform some arithmetic operations on the matrices ( multiplication, addition, subtraction) you can do so using the regular operation keys.
If on the other hand you want to calculate determinants of square matrices, inverse square matrices etc.
Go to the RUN/MAT screen and press [OPTN, then press F2 to open access these operations and this is what you see.

F1 type the MAT identifier in command line
M>L converts a matrix to a list
Det calculates the Determinant of a square matrix
Trn transposes the matrix,
etc.
To invert a square matix, use the [X^-1] key e.g. MatA^-1

Hi,
If you have mastered matrix manipulations on the TI calculators, it should be a breeze to learn the same on the Casios.

A. Define the matrix (Create it)

1. Turn calculator ON.
   
2. Press Menu,select the MAT icon and press [EXE]
3. You see a list of possible matrix labels (A, B, C,D,E,F)
4. All that have not been created have a "none" to their right
5. Highlight a matrix name and press the right arrow. Where there was "none" , you have a template 0x0.
6. That is where you specify the dimensions (mxn). exemple. 2x2
7. Enter the first dimension and press [EXE]
8. Enter the 2nd dimension and press [EXE]
9. A matrix template opens where you enter the coefficients left to right and up down.
10. After each coefficient press [EXE]. Cursor moves to the next coefficient, etc.

At the bottom of the screen you have 3 menus for Row and column manipulations. But those will have to wait for now.
Press [SHIFT][QUIT] to return to the list of matrices to create new ones

Operations on matrices
Once you have one matrix, you can do operations on it: Calculate the determinant (if matrix is square), calculate its inverse, transpose, augment it, fill it, etc..

1. These operations are accessed as follows.
2. Quit the matrix editor by pressing [Menu] and selecting the [Run] application.
   
3. Press [OPTN][F2:MAT]
4. You have the menus Mat,M(atrix)->L(ist), Det(erminant), Trn (transpose), Aug(ment) ->, Iden(tity),Dim(ension) Fill

Exemple : calculate the determinant of a matrix A (already defined).

1. You press the [OPTN][F2:MAT] key sequence (just above)
2. Press [F3:Det]; the command det is displayed on screen.
3. Press [F1:Mat] the identifier Mat is displayed.
4. Press [ALPHA] A; screen display det Mat A.
5. Press [EXE] to get the value of the determinant.

Square of Matrix A
[OPTN][F2:MAT] (MAT) [Alpha] A ^2 [EXE]
Product of two compatible matrices MatAXMatB
[OPTN][F2:MAT] (MAT) [Alpha] A [* ) (MAT) [ALPHA] B [EXE]

Hope it helps.
Thank you for using FixYa.

If a matrix has a determinant of 0, this error appears. If you get this error, your matrix doesn't have an inverse.