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Inverse of coefficient matrix question!?

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how do i solve the following system of equations using the inverse of the coefficient matrix? 

2x+4y+6z=4
-x-4y-3z=8 
y-z =-4

asked Apr 8, 2016 in PRE-ALGEBRA by anonymous

1 Answer

0 votes

Step 1:

The system of equations are

image

Write the equations into matrix form , where is coefficient matrix,

is variable matrix and is constant matrix.

image

Definition of inverse matrix :

If is an then , where .

Let , then .

image

, then has an inverse.

Step 2:

Cofactor of is

image

Cofactor of image

.

image

image.

Step 3:

Find .

image

image

Solution :

The inverse of the is image

answered Apr 9, 2016 by Anney Mentor
edited Apr 9, 2016 by Anney

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