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Let A be 3xx3 matrix such A^(2)-5A+7I=0 ...

Let A be `3xx3` matrix such `A^(2)-5A+7I=0` statement 1 : `A^(-1)=(1)/(7)(5I-A)`
Statement 2 : The polynomial `A^(3)-2A^(2)-3A+I` can be reduce to 5 (A-4I) then

A

both stetements are true

B

both statement are false

C

statemennt 1 is true, but statement 2 is false

D

statement 1 if false, but statement 2 true

Text Solution

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The correct Answer is:
C
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