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Matrices and Determinants question

2020 · 2 Sep · Shift 1 · Q25

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JEE Main
Mathematics
Matrices and Determinants
2020 · 2 Sep · Shift 1 · Q25

Matrices and Determinants question

2020 · 2 Sep · Shift 1 · Q25

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let A be a 2

\times

2 real matrix with entries from {0, 1} and |A|

e

0. Consider the following two statements : (P) If A

e

I2 , then |A| = –1 (Q) If |A| = 1, then tr(A) = 2, where I2 denotes 2

\times

2 identity matrix and tr(A) denotes the sum of the diagonal entries of A. Then :

A
(P) is true and (Q) is false
B
Both (P) and (Q) are false
C
Both (P) and (Q) are true
D
(P) is false and (Q) is true

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