Question
If A=⎡⎢⎣12101−13−11⎤⎥⎦, then
Answer: Option D
:
D
⎡⎢⎣12101−13−11⎤⎥⎦A2=A.A=⎡⎢⎣12101−13−11⎤⎥⎦⎡⎢⎣12101−13−11⎤⎥⎦=⎡⎢⎣430−32−2645⎤⎥⎦A.A2=⎡⎢⎣12101−13−11⎤⎥⎦⎡⎢⎣430−9−2−721117⎤⎥⎦⇒A3−3A2−A+9I3=0
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:
D
⎡⎢⎣12101−13−11⎤⎥⎦A2=A.A=⎡⎢⎣12101−13−11⎤⎥⎦⎡⎢⎣12101−13−11⎤⎥⎦=⎡⎢⎣430−32−2645⎤⎥⎦A.A2=⎡⎢⎣12101−13−11⎤⎥⎦⎡⎢⎣430−9−2−721117⎤⎥⎦⇒A3−3A2−A+9I3=0
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