New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Matrices and Determinants question

2011 · Shift 1 · Q42

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Advanced
Mathematics
Matrices and Determinants
2011 · Shift 1 · Q42

Matrices and Determinants question

2011 · Shift 1 · Q42

JEE AdvancedMathematicsMatrices and DeterminantsMultiple correct+4 / −1

Let M and N be two 3

\times

3 non-singular skew symmetric matrices such that MN = NM. If PT denotes the transpose of P, then M2N2(MTN)

-

1(MN

-

1)T is equal to

A
M2
B
$-$ N2
C
$-$ M2
D
MN

More from Matrices and Determinants

Let a, b and c be three real numbers satisfying $[a b c] 187923777 = [000]$ …2011 · MCQ
Let a, b and c be three real numbers satisfying $[a b c] 187923777 = [000]$ …2011 · MCQ
Let a, b and c be three real numbers satisfying $[a b c] 187923777 = [000]$ …2011 · MCQ
Let $ω e$ 1 be a cube root of unity and S be the set of all non-singular matrices of the form $1 ω ω^{2} a 1 ω b c 1$ ,…2011 · MCQ
Let M be a 3 $\times$ 3 matrix satisfying $M 010 = - 1 23$ , $M 1 - 1 0 = 11 - 1$ …2011 · Numerical
The number of $3 \times 3$ matrices A whose entries are either 0 or 1 and for which the system $A x y z = 100$ has exactly two distinct…2010 · MCQ
Let $p$ be an odd prime number and $T_{p}$ be the following set of $2 \times 2$ matrices : $T_{p} = {A = [a c b a] : a, b, c \in {0, 1, 2, \dots, p - 1}}$ …2010 · MCQ
Let $p$ be an odd prime number and $T_{p}$ be the following set of $2 \times 2$ matrices : $T_{p} = {A = [a c b a] : a, b, c \in {0, 1, 2, \dots, p - 1}}$ …2010 · MCQ