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Consider the following matrix.

A =
7, -5
-4, 3

Choose the correct description of A
Find A^−1 if it exists.

Answer either Choice 1, or Choice 2:

CHOICE 1:
A is nonsingular; that is, it has an inverse.
A^-1 = _________

or CHOICE 2 :
A is singular; that is, it's inverse DOES NOT EXIST.

1 answer

A^-1 exists if |A| is not zero.
Here, |A| = 21-20 = 1
so, A has an inverse.

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