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Question

Find matrix A such that211034A=1812922


Solution

Here, multiplier has 3×2 order matrix and product matrix has 3×2 order matrix. So, A will be 2× 2 order matrix.

Let X(xyzt)

We have,

211034 (xyzt)=1812922

2xz2ytxy3x+4z3y+4t=1812922

Equating correncponding elements, we have

2xz=12yt=8x=1andy=23x+4z=93y+4t=22

On solving these equations, we have

x=1,y=2z=3,t=4

So, A=(1234)

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