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 · 31 Aug · 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 · 31 Aug · Shift 2 · Q40

Matrices and Determinants question

2021 · 31 Aug · Shift 2 · Q40

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1
The number of elements in the set {A=(ab0d):a,b,d∈{−1,0,1} and (I−A)3=I−A3}\left\{ {A = \left( {\begin{matrix} a & b \\ 0 & d \\ \end{matrix} } \right):a,b,d \in \{ - 1,0,1\} \,and\,{{(I - A)}^3} = I - {A^3}} \right\}{A=(a0​bd​):a,b,d∈{−1,0,1}and(I−A)3=I−A3}, where I is 2 ×\times× 2 identity matrix, is :
Numerical answer
PreviousNext

More from Matrices and Determinants

  • Let S be the set of all λ∈ R for which the system of linear equations 2x – y + 2z = 2 x – 2y +λ z = –4 x + λ y + z = 4 has no solution. Then the set S :2020 · MCQ
  • Let A be a 2 × 2 real matrix with entries from {0, 1} and |A| e 0. Consider the following two statements : (P) If A e I2 , then |A| = –1 (Q) If |A| = 1, then tr(A) = 2, where I2 denotes 2 × 2 identity matrix and tr(A)…2020 · MCQ
  • Let a, b, c ∈ R be all non-zero and satisfy a3 + b3 + c3 = 2. If the matrix A = ​abc​bca​cab​​ satisfies ATA = I, then a value of abc can…2020 · MCQ
  • Let A = {X = (x, y, z)T: PX = 0 and x2 + y2 + z2 = 1} where P=​1−21​239​1−4−1​​, then the set A :2020 · MCQ
  • If Δ=​x−22x−33x−5​2x−33x−45x−8​3x−44x−510x−17​​ = Ax3 + Bx2 + Cx + D, then B + C is equal to :2020 · MCQ
  • Let A = [x1​10​], x ∈ R and A4 = [aij]. If a11 = 109, then a22 is equal to ​ .2020 · Numerical
  • Let S be the set of all integer solutions, (x, y, z), of the system of equations x – 2y + 5z = 0 –2x + 4y + z = 0 –7x + 14y + 9z = 0 such that 15 ≤ x2 + y2 + z2 ≤ 150. Then, the number of elements in the set S is equal to ​…2020 · Numerical
  • If the system of equations x - 2y + 3z = 9 2x + y + z = b x - 7y + az = 24, has infinitely many solutions, then a - b is equal to.........2020 · Numerical