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Inverse of a Matrix with det=0

Smythe · 2012-02-15 13:18:17

If I want to find the inverse of matrix A; (1) (2) (1) (2) (-1) (2) (1) (2) (1) The determinant works out to be 0 The inverse is 1/determinant x adj(A) Therefore the inverse is 1/0 x adj(A) So is the answer to, what is the inverse, simply that it is undefined?

15-02-2012 1:18pm

#1

Smythe

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Join Date: March 2010

Posts: 232

If I want to find the inverse of matrix A;

(1) (2) (1)
(2) (-1) (2)
(1) (2) (1)

The determinant works out to be 0

The inverse is 1/determinant x adj(A)

Therefore the inverse is 1/0 x adj(A)

So is the answer to, what is the inverse, simply that it is undefined?

0

Comments

#2 15-02-2012 1:33pm

TheBody

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Posts: 5498

The inverse any matrix doesn't exist if the det=0. Therefore the inverse of your matrix doesn't exist.

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