Casio FX-9750G, FX-9860GII SDeterminant, SMatrix Transposition, SMatrix Arithmetic Operations, A, B, −1 −2, Example, Example, Matrix A, Matrix A = 3, To transpose the following matrix:

SMatrix Arithmetic Operations [OPTN]-[MAT]-[Mat]/[Iden]

Example 1 To add the following two matrices (Matrix A + Matrix B):

A =	1	1	B =	2	3
		1		2	1
	2

*(MAT)(Mat)?T(A)

(Mat)?J(B)U

Example 2 To multiply the two matrices in Example 1 (Matrix A σ Matrix B)

*(MAT)(Mat)?T(A)

(Mat)?J(B)U

•The two matrices must have the same dimensions in order to be added or subtracted. An error occurs if you try to add or subtract matrices of different dimensions.

•For multiplication (Matrix 1 σ Matrix 2), the number of columns in Matrix 1 must match the number of rows in Matrix 2. Otherwise, an error occurs.

SDeterminant						[OPTN]-[MAT]-[Det]
Example	Obtain the determinant for the following matrix:
	Matrix A =		1	2	3
		4		5	6
			−1 −2		0

*(MAT)(Det)(Mat)

?T(A)U

•Determinants can be obtained only for square matrices (same number of rows and columns). Trying to obtain a determinant for a matrix that is not square produces an error.

•The determinant of a 2 σ 2 matrix is calculated as shown below.

A =	a11	a12	= a11a22 – a12a21
		a22
	a21

• The determinant of a 3 σ 3 matrix is calculated as shown below.

	a11	a12	a13
A =	a21	a22	a23	= a11a22a33 + a12a23a31 + a13a21a32 – a11a23a32 – a12a21a33 – a13a22a31
	a31	a32	a33

SMatrix Transposition [OPTN]-[MAT]-[Trn]

A matrix is transposed when its rows become columns and its columns become rows.

Example To transpose the following matrix:

12

Matrix A = 3 4

56

2-45