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 · 18 Mar · Shift 2 · Q41
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 · 18 Mar · Shift 2 · Q41

Matrices and Determinants question

2021 · 18 Mar · Shift 2 · Q41

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1
Let I be an identity matrix of order 2 ×\times× 2 and P =[2−15−3]\left[ {\begin{matrix} 2 & { - 1} \\ 5 & { - 3} \\ \end{matrix} } \right][25​−1−3​]. Then the value of n ∈\in∈ N for which Pn = 5I −-− 8P is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
PreviousNext

More from Matrices and Determinants

  • Let A=[2a​30​], a ∈ R be written as P + Q where P is a symmetric matrix and Q is skew symmetric matrix. If det(Q) = 9, then the modulus of the sum of all possible…2021 · MCQ
  • Let A=​100​−110​0−11​​ and B = 7A20 − 20A7 + 2I, where I is an identity matrix of order 3 × 3. If B = [bij], then b13is…2021 · Numerical
  • Let a, b, c, d in arithmetic progression with common difference λ. If ​x+a−cx−1x−b+d​x+bx+cx+d​x+ax+bx+c​​=2…2021 · Numerical
  • The value of k ∈ R, for which the following system of linear equations 3x − y + 4z = 3, x + 2y − 3z =− 2 6x + 5y + kz = − 3, has infinitely many solutions, is :2021 · MCQ
  • The values of λ and μ such that the system of equations x+y+z=6, 3x+5y+5z=26, x+2y+λz=μ has no solution, are :2021 · MCQ
  • Let A = [aij] be a real matrix of order 3 × 3, such that ai1 + ai2 + ai3 = 1, for i = 1, 2, 3. Then, the sum of all the entries of the matrix A3 is equal to :2021 · MCQ
  • Let A=​010​100​001​​. Then the number of 3 × 3 matrices B with entries from the set {1, 2, 3, 4, 5} and satisfying AB = BA is ​…2021 · Numerical
  • The system of linear equations 3x - 2y - kz = 10 2x - 4y - 2z = 6 x+2y - z = 5m is inconsistent if :2021 · MCQ