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Question

The matrix X for which [1432]X=[16672], is

A
[2431]
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B
621122
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C
[16672]
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D
⎢ ⎢152531015⎥ ⎥
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Solution

The correct option is B 621122
Let, A=[1432] and B=[16672]

Then the matrix equation is AX=B
|A|=[1432]=2+12=10(0)
So A is an invertible matrix. Also,
adjA=[2431]
So,
A1=1|A|adjA=110[2431]

Now, AX=B
A1(AX)=A1B
(A1A)X=A1B
IX=A1B
X=A1B
X=110[2431][16672]=[6211/22]

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