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Question

If A is non-singular and (A2I)(A4I)=0 then 16A+43A1=

A
I
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B
0
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C
2I
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D
6I
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Solution

The correct option is A I
(A2I)(A4I)=0
A26A+8I=0
Pre-multiply by A1
A6I+8A1=0
16A+43A1=I

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