Sharp EL-9600c, EL-9400, EL-9650 manual 17 0.83 = 0.5 0.5 17 0.17

EL-9650/9600c Graphing Calculator

Step & Key Operation Display Notes

*Use either pen touch or cursor to operate.

2-1Enter a 3 x 3 matrix B.

MATRIX B * 2 *

1 ENTER 2

2 ENTER 1

1 ENTER 1

3 ENTER 3 ENTER

ENTER 1 ENTER

ENTER (-) 1 ENTER

ENTER (-) 2 ENTER

2-2Exit the matrix editor and find the inverse of the square matrix B.

2nd F	QUIT			CL
MATRIX	A	*	2		*	2nd F	x-1	ENTER

(repeatedly)

3-1Enter the constants on the right side of the equal sign into matrix C (3 x 1).

MATRIX B * 3 * 3 ENTER 1 ENTER

8 ENTER 1 ENTER (-) 3 ENTER

3-2Calculate B-1C.

	CL		MATRIX	A	* 2 *
2nd F	x	-1	X	MATRIX		A	* 3	*	ENTER

3-3Delete the input matrices for future use.

2nd F OPTION C *

2* ENTER 2nd F QUIT

Some square matrices have no inverse and will generate error statements when calculating the inverse.

-0.17 0.83 - 0.5

B-1= 0.5 - 0.5 0.5

0.170.17 - 0.5

The system of equations can be expressed as

	1	2	1	x	=		8
2		1	-1	y		1
1		1	-2	z		-3

Let each matrix B, X, C : BX = C

B-1BX = B-1C (multiply both sides by B-1)

I= B-1(B-1B = I, identity matrix) X = B-1C

The 1 is the x coordinate, the 2 the y coordinate, and the 3 the z coordinate of the solution point. (x, y, z)=(1, 2, 3)

The calculator can execute calculation of inverse matrix and matrix multiplication. A system of linear equations can be solved easily using the Matrix feature.

6-2