Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Matrices and Determinants question

2021 · 22 Jul · Shift 2 · Q40
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Matrices and Determinants
  5. /2021 · 22 Jul · Shift 2 · Q40

Matrices and Determinants question

2021 · 22 Jul · Shift 2 · Q40

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1
Let A=[010100001]A = \left[ {\begin{matrix} 0 & 1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1 \\ \end{matrix} } \right]A=​010​100​001​​. Then the number of 3 ×\times× 3 matrices B with entries from the set {1, 2, 3, 4, 5} and satisfying AB = BA is ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Matrices and Determinants

  • The system of linear equations 3x - 2y - kz = 10 2x - 4y - 2z = 6 x+2y - z = 5m is inconsistent if :2021 · MCQ
  • Let P = ​323​−10−5​−2α0​​, where α∈ R. Suppose Q = [ qij] is a matrix satisfying PQ = kl3 for some non-zero k…2021 · Numerical
  • Let M be any 3 × 3 matrix with entries from the set {0, 1, 2}. The maximum number of such matrices, for which the sum of diagonal elements of MTM is seven, is ​.2021 · Numerical
  • Let A and B be 3 × 3 real matrices such that A is symmetric matrix and B is skew-symmetric matrix. Then the system of linear equations (A2B2 − B2A2) X = O, where X is a 3 × 1 column matrix of unknown variables and O is a 3 ×…2021 · MCQ
  • For the system of linear equations: x−2y=1,x−y+kz=−2,ky+4z=6,k∈R, consider the following statements : (A) The system has unique solution if ke2,ke−2. (B) The system has unique solution if k = − 2 (C) The…2021 · MCQ
  • If A=[0tan(2θ​)​−tan(2θ​)0​] and (I2​+A)(I2​−A)−1=[ab​−ba​]…2021 · Numerical
  • If the system of equations kx + y + 2z = 1 3x − y − 2z = 2 − 2x − 2y − 4z = 3 has infinitely many solutions, then k is equal to ​.2021 · Numerical
  • Let A be a 3 × 3 matrix with det(A) = 4. Let Ri denote the ith row of A. If a matrix B is obtained by performing the operation R2 → 2R2 + 5R3 on 2A, then det(B) is equal to :2021 · MCQ