Question: Prove: if A is a diagonal matrix with nonzero diagonal entries a11,a22, . . . , ann, then A is nonsingular and A-1 is a

Prove: if A is a diagonal matrix with nonzero diagonal entries a11,a22, . . . , ann, then A is nonsingular and A-1 is a diagonal matrix with diagonal entries 1/a11, 1/a22, . . . 1/ann.

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