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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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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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