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Question

If A=⎡⎢⎣−123−23−1312⎤⎥⎦, and I is the unit matrix of order 3, then A2+9I is equal to

A
2A
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B
4A
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C
6A
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D
None of these
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Solution

The correct option is D None of these
A=123231312=1(6+1)2(4+3)+3(29)=38A2+9I=382+9(1)=1953
And 2A=76,4A=132,6A=228

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