Casio fx-5800P = a11, A Inverting a Matrix, A Transposing a Matrix, A Obtaining the Determinant of a Matrix, det, det, det, z– {MATRIX}3(det) Mat C)

A Obtaining the Determinant of a MatrixThe det( function can be used to obtain the determinant of a square matrix.

det	a11	= a11
det	a11	a12	= a11a22 – a12a21
	a21	a22
	a11 a12 a13
det	a21	a22	a23	= a11a22a33 + a12a23a31 + a13a21a32 – a13a22a31 – a12a21a33 – a11a23a32
	a31	a32	a33

Example: To obtain the determinant of the matrix 15 –20 .This example assumes that Mat C contains 15 –20 .z– {MATRIX}3(det) Mat C)

E

A Transposing a Matrix

Transposing a matrix basically means to change its rows in to columns and its columns into rows. Calculation is performed using the Trn( function as shown below.

Example: To transpose the matrix 1 2 3 . 4 5 6

This example assumes that Mat B contains 1 2 3 . 4 5 6

z – {MATRIX}4(Trn) Mat B)

E

A Inverting a MatrixYou can use the procedure shown below to invert a square matrix.

a11	–1	=	1
				a11		a22	–a12
a11	a12
				–1		–a21	a11
a21	a22			=
					a	11a22 – a12a21

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