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Let A be a 3xx3 matrix such that A^2-5A+...

Let `A` be a `3xx3` matrix such that `A^2-5A+7I=0` then which of the statements is true.
Statement I: `A^-1 = 1/7(5I-A)`
Statement II: The polynomial `A^3-2A^2-3A+I` can be reduced to `5(A-4I)`. Then:

A

(a) Both the statements are true.

B

(b) Both the statements are false.

C

(c) Statement-I is true,
but Statement -II is false.

D

(d) Statement-I is false,
but Statement-II is true.

Text Solution

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The correct Answer is:
A
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE MAIN ARCHIVE
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