Chapter 6, Problem 87RE

(a)

To determine

To calculate: The value of $I-A$ if matrix A and D as mentioned below,

$A=\left[\begin{array}{cc}0& \frac{1}{4}\\ \frac{1}{2}& 0\end{array}\right],D=\left[\begin{array}{c}2100\\ 1400\end{array}\right]$.

(b)

To determine

To calculate: The value of ${\left(I-A\right)}^{-1}$ if matrix A and D as mentioned below,

$A=\left[\begin{array}{cc}0& \frac{1}{4}\\ \frac{1}{2}& 0\end{array}\right],D=\left[\begin{array}{c}2100\\ 1400\end{array}\right]$.

(c)

To determine

To calculate: The value of $X={\left(I-A\right)}^{-1}D$

If matrix A and D as mentioned below,

$A=\left[\begin{array}{cc}0& \frac{1}{4}\\ \frac{1}{2}& 0\end{array}\right],D=\left[\begin{array}{c}2100\\ 1400\end{array}\right]$.