New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Matrices and Determinants question

2024 · 8 Apr · Shift 1 · Q31

Guest · try one question or challengeGuest · try one question or challenge

PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2024 · 8 Apr · Shift 1 · Q31

Matrices and Determinants question

2024 · 8 Apr · Shift 1 · Q31

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let

A=\left[\begin{array}{lll}2 & a & 0 \\ 1 & 3 & 1 \\ 0 & 5 & b\end{array}\right]

. If

A^3=4 A^2-A-21 I

, where

I

is the identity matrix of order

3 \times 3

, then

2 a+3 b

is equal to

A
$-10$
B
$-12$
C
$-13$
D
$-9$

More from Matrices and Determinants

Let $A = [21 - 1 1]$ . If the sum of the diagonal elements of $A^{13}$ is $3^{n}$ , then $n$ is equal to .2024 · Numerical
If $α e q a, β e q b, γ e q c$ and $α a a b β b c c γ = 0$ …2024 · MCQ
If the system of equations $x + 4 y - z = λ, 7 x + 9 y + μ z = - 3, 5 x + y + 2 z = - 1$ has infinitely many solutions, then $(2 μ + 3 λ)$ is equal to :2024 · MCQ
Let $λ, μ \in R$ . If the system of equations $3 x + 5 y + λ z = 3 7 x + 11 y - 9 z = 2 97 x + 155 y - 189 z = μ$ has infinitely many solutions, then $μ + 2 λ$ is equal to…2024 · MCQ
Let $A$ be a non-singular matrix of order 3. If $det (3 adj (2 adj ((det A) A))) = 3^{- 13} \cdot 2^{- 10}$ and $det (3 adj (2 A)) = 2^{m} \cdot 3^{n}$ …2024 · Numerical
Let $B = [1135]$ and $A$ be a $2 \times 2$ matrix such that $A B^{- 1} = A^{- 1}$ . If $B C B^{- 1} = A$ and $C^{4} + α C^{2} + β I = O$ , then $2 β - α$ is equal to2024 · MCQ
Consider the matrices : $A = [23 - 5 m], B = [20 m]$ and $X = [x y]$ . Let the set of all $m$ , for which…2024 · Numerical
Consider the matrix $f (x) = cos x sin x 0 - sin x cos x 0 001$ . Given below are two statements : Statement I : $f (- x)$ is the inverse of the matrix $f (x)$ …2024 · MCQ