Chapter B, Problem 62E

(a)

To determine

To find: The inverse of $2\times 2$ order diagonal matrix $A=\left(\begin{array}{cc}{a}_{11}& 0\\ 0& a_{22}\end{array}\right)$, when $a_{11}\ne 0\text{and}{a}_{22}\ne 0$.

(b)

To determine

To find: The inverse of a $3\times 3$ diagonal matrix $A$, whose main diagonal entries $a_{ii}$ are all nonzero.

(c)

To determine

The inverse of a $n\times n$ diagonal matrix $A$, whose main diagonal entries $a_{ii}$ are all nonzero.