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Matrices and Determinants question

2016 · 10 Apr · Shift 1 · Q25

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JEE Main
Mathematics
Matrices and Determinants
2016 · 10 Apr · Shift 1 · Q25

Matrices and Determinants question

2016 · 10 Apr · Shift 1 · Q25

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let A be a 3

\times

3 matrix such that A2

-

5A + 7I = 0 Statement - I : A

-

1 =

{1 \over 7}

(5I

-

A). Statement - II : The polynomial A3

-

2A2

-

3A + I can be reduced to 5(A

-

4I). Then :

A
Statement-I is true, but Statement-II is false.
B
Statement-I is false, but Statement-II is true.
C
Both the statements are true.
D
Both the statements are false

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