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

2023 · 24 Jan · Shift 1 · Q33
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Matrices and Determinants
  5. /2023 · 24 Jan · Shift 1 · Q33

Matrices and Determinants question

2023 · 24 Jan · Shift 1 · Q33

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
If A and B are two non-zero n ×\times× n matrices such that A2+B=A2B\mathrm{A^2+B=A^2B}A2+B=A2B, then :
  1. A
    A2B=I\mathrm{A^2B=I}A2B=I
  2. B
    A2=I\mathrm{A^2=I}A2=I or B=I\mathrm{B=I}B=I
  3. C
    A2B=BA2\mathrm{A^2B=BA^2}A2B=BA2
  4. D
    AB=I\mathrm{AB=I}AB=I
PreviousNext

More from Matrices and Determinants

  • If the system of equations x+2y+3z=34x+3y−4z=48x+4y−λz=9+μ has infinitely many solutions, then the ordered pair (λ,μ) is equal to :2023 · MCQ
  • Let S 1​ and S 2​ be respectively the sets of all a∈R−{0} for which the system of linear equations ax+2ay−3az=1(2a+1)x+(2a+3)y+(a+1)z=2(3a+5)x+(a+5)y+(a+2)z=3 has unique solution and…2023 · MCQ
  • Let A1​,A2​,A3​ be the three A.P. with the same common difference d and having their first terms as A,A+1,A+2, respectively. Let a, b, c be the 7th,9th,17th terms of A1​,A2​,A3​,…2023 · Numerical
  • Let A, B, C be 3 × 3 matrices such that A is symmetric and B and C are skew-symmetric. Consider the statements (S1) A 13 B 26− B 26 A 13 is symmetric (S2) A 26 C 13− C 13 A 26 is symmetric…2023 · MCQ
  • Let A=[10​1​10​−3​​10​3​10​1​​] and B=[10​−i1​]…2023 · MCQ
  • Let α and β be real numbers. Consider a 3 × 3 matrix A such that A2=3A+αI. If A4=21A+βI, then2023 · MCQ
  • Consider the following system of equations αx+2y+z=12αx+3y+z=13x+αy+2z=β for some α,β∈R. Then which of the following is NOT correct.2023 · MCQ
  • Let A be a symmetric matrix such that ∣A∣=2 and [23​123​​]A=[1α​2β​]. If the…2023 · Numerical