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

2024 · 6 Apr · Shift 2 · Q57
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Matrices and Determinants
  5. /2024 · 6 Apr · Shift 2 · Q57

Matrices and Determinants question

2024 · 6 Apr · Shift 2 · Q57

JEE MainMathematicsMatrices and DeterminantsNumerical+4 / −1
If the system of equations 2x+7y+λz=33x+2y+5z=4x+μy+32z=−1\begin{aligned} & 2 x+7 y+\lambda z=3 \\ & 3 x+2 y+5 z=4 \\ & x+\mu y+32 z=-1 \end{aligned}​2x+7y+λz=33x+2y+5z=4x+μy+32z=−1​ has infinitely many solutions, then (λ−μ)(\lambda-\mu)(λ−μ) is equal to ‾\underline{\hspace{2cm}}​ :
Numerical answer
PreviousNext

More from Matrices and Determinants

  • Let A=​210​a35​01b​​. If A3=4A2−A−21I, where I is the identity matrix of order 3×3, then 2a+3b is equal to2024 · MCQ
  • Let A=[21​−11​]. If the sum of the diagonal elements of A13 is 3n, then n is equal to ​.2024 · Numerical
  • If αeqa,βeqb,γeqc and ​αaa​bβb​ccγ​​=0…2024 · MCQ
  • If the system of equations x+4y−z=λ,7x+9y+μz=−3,5x+y+2z=−1 has infinitely many solutions, then (2μ+3λ) is equal to :2024 · MCQ
  • Let λ,μ∈R. If the system of equations ​3x+5y+λz=37x+11y−9z=297x+155y−189z=μ​ has infinitely many solutions, then μ+2λ is equal to…2024 · MCQ
  • Let A be a non-singular matrix of order 3. If det(3adj(2adj((detA)A)))=3−13⋅2−10 and det(3adj(2A))=2m⋅3n…2024 · Numerical
  • Let B=[11​35​] and A be a 2×2 matrix such that AB−1=A−1. If BCB−1=A and C4+αC2+βI=O, then 2β−α is equal to2024 · MCQ
  • Consider the matrices : A=[23​−5m​],B=[20m​] and X=[xy​]. Let the set of all m, for which…2024 · Numerical