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Q.

If A=2012131−10, then A2−5A+6I is equal to

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a

1−1−3−1−1−10−544

b

11−5−1−14−3−104

c

0

d

I

answer is A.

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Detailed Solution

A2=2012131−102012131−10=5−129−250−1−2Now, A2−5A+6I=5−129−250−1−2−52012131−10+6100010001=5−10+6−1−0+02−5+09−10+0−2−5+65−15+00−5+0−1+5+0−2−0+6=1−1−3−1−1−10−544
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If A=2012131−10, then A2−5A+6I is equal to