Problem

A square matrix A is said to be a diagonal matrix if all its entries off the main diagon...

A square matrix A is said to be a diagonal matrix if all its entries off the main diagonal are zero—that is, The entries a_iion the main diagonal may or may not be zero. The multiplicative identity matrix I is an example of a diagonal matrix.

(a) Find the inverse of the when

(b) Find the inverse of a diagonal matrix A whose main diagonal entries a_ii are all nonzero.

(c) In general, what is the inverse of an diagonal matrix A whose main diagonal entries a_iiare all nonzero?

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Solutions For Problems in Chapter A.II

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