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 · 31 Jan · Shift 1 · Q36
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 · 31 Jan · Shift 1 · Q36

Matrices and Determinants question

2023 · 31 Jan · Shift 1 · Q36

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let A=(10004−1012−3)A = \left( {\begin{matrix} 1 & 0 & 0 \\ 0 & 4 & { - 1} \\ 0 & {12} & { - 3} \\ \end{matrix} } \right)A=​100​0412​0−1−3​​. Then the sum of the diagonal elements of the matrix (A+I)11{(A + I)^{11}}(A+I)11 is equal to :
  1. A
    4094
  2. B
    2050
  3. C
    6144
  4. D
    4097
PreviousNext

More from Matrices and Determinants

  • The number of values of α for which the system of equations : x + y + z =αα x + 2 α y + 3z = − 1 x + 3 α y + 5z = 4 is inconsistent, is2022 · MCQ
  • Let the system of linear equations x + y + α z = 2 3x + y + z = 4 x + 2z = 1 have a unique solution (x ∗, y ∗, z ∗). If (α, x ∗), (y ∗, α) and (x ∗, − y ∗) are collinear points, then the…2022 · MCQ
  • Let S={(−10​ab​);a,b∈{1,2,3,....100}} and let Tn​={A∈S:An(n+1)=I}. Then the number of elements in n=1⋂100​Tn​…2022 · Numerical
  • The number of θ∈(0,4π) for which the system of linear equations ​3(sin3θ)x−y+z=23(cos2θ)x+4y+3z=36x+7y+7z=9​ has no solution, is :2022 · MCQ
  • Let A=​211​−10−1​−1−10​​ and B=A−I. If ω=23​i−1​, then the number of elements in the set{n∈{1,2,…,100}:An+(ωB)n=A+B}…2022 · Numerical
  • The number of real values of λ, such that the system of linear equations 2x − 3y + 5z = 9 x + 3y − z =− 18 3x − y + (λ 2 −|λ |)z = 16 has no solutions, is2022 · MCQ
  • Let A=​100​a10​ab1​​,a,b∈R. If for some n∈N,An=​100​4810​2160961​​…2022 · Numerical
  • Let A be a 3 × 3 real matrix such that A​110​​=​110​​;A​101​​=​−101​​…2022 · MCQ