Let A be a 3×3 matrix such that A^2-5A+7I=O 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: [Main 10 Apr 2016]

Correct Answer is : Both the statements are true.

Statement-I is true, but Statement-II is false.

Statement-I is false, but Statement-II is true.

Matrices and Determinants Part 1

Section: Mathematics

Question : 61 of 100

Marks: +1, -0

Let A be a 3×3 matrix such that A2−5A+7I=O
Statement - I : A−1=

(5I−A)
Statement - II : The polynomial A3−2A2−3A+I can be reduced to 5(A−4I) Then:

[Main 10 Apr 2016]

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