   Chapter 1.6, Problem 6E

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# Write a single matrix equation of the form A X = B that is equivalent to the following system of equations.     w     +     6 x   −   3 y   +   2 z   =   9 4 w − 7 x     +     y + 5 z = 0

To determine

A single matrix equation of the form AX=B that is equivalent to the following system of equations.

w+6x3y+2z=9

4w7x+y+5z=0

Explanation

Given information:

The system of equation is

w+6x3y+2z=9

4w7x+y+5z=0

Formula used:

Definition: Matrix multiplication

The product of m×n matrix A over and n×p matrix B over is m×p matrix C=AB, where the element cij in row i and column j of AB is found by using the elements in row i of A, and the elements in column j of B in the following manner:

columnjofBcolumnjofCrowiofA[ai1ai2ai3ain][b1jb2j

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