Chapter 6.4, Problem 38E

To determine

To prove:

The relation $\left[\begin{array}{cccc}{a}_{11}& a_{12}& \dots & a_{1n}\\ a_{21}& a_{22}& \dots & a_{2n}\\ ⋮& ⋮& & ⋮\\ a_{n1}& a_{n2}& \dots & a_{nn}\end{array}\right]\left[\begin{array}{c}{p}_{1i}\\ p_{2i}\\ ⋮\\ p_{ni}\end{array}\right]=b_{ij}\left[\begin{array}{c}{p}_{1i}\\ p_{2i}\\ ⋮\\ p_{ni}\end{array}\right]$.