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B18

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## Homework Statement

Prove that if A is an n x n diagonal matrix with nonzero main diagonal elements; that is a(subscript)ii≠0 for all

1 ≤ i ≤ n, then A is nonsingular and find A(superscript)-1 (A inverse)

## Homework Equations

AB=BA=I(subscript)n

## The Attempt at a Solution

I first started out by stating that givens, such as A is an n x n diagonal matrix with nonzero diagonal elements. I then let B be an n x n matrix, and also stated that B is the inverse of A.

Am I on the right track here? Can I prove that AB=I(sub)n or BA=I(sub)n??