New chat PYQ Library Doubts Rank report

Sign in to see Recents

Sign in to save progress →

Matrices and Determinants question

2022 · 26 Jul · Shift 2 · Q22

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

PYQ Library
JEE Main
Mathematics
Matrices and Determinants
2022 · 26 Jul · Shift 2 · Q22

Matrices and Determinants question

2022 · 26 Jul · Shift 2 · Q22

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

\text { Let } A=\left[\begin{array}{l} 1 \\ 1 \\ 1 \end{array}\right] \text { and } B=\left[\begin{array}{ccc} 9^{2} & -10^{2} & 11^{2} \\ 12^{2} & 13^{2} & -14^{2} \\ -15^{2} & 16^{2} & 17^{2} \end{array}\right] \text {, then the value of } A^{\prime} B A \text { is: }

A
1224
B
1042
C
540
D
539

More from Matrices and Determinants

The number of matrices $A = (a c b d)$ , where $a, b, c, d \in {- 1, 0, 1, 2, 3, \dots\dots, 10}$ , such that $A = A^{- 1}$ , is .2022 · Numerical
The ordered pair (a, b), for which the system of linear equations 3x $-$ 2y + z = b 5x $-$ 8y + 9z = 3 2x + y + az = $-$ 1 has no solution, is :2022 · MCQ
If the system of equations $α$ x + y + z = 5, x + 2y + 3z = 4, x + 3y + 5z = $β$ has infinitely many solutions, then the ordered pair ( $α$ , $β$ ) is equal to :2022 · MCQ
Let $X = 000100010, Y = α I + β X + γ X^{2}$ and $$Z = {\alpha ^2}I - \alpha \beta X + ({\beta ^2} - \alpha \gamma…2022 · Numerical
Let $A = (1 - 2 2 - 5)$ . Let $α, β \in R$ be such that $α A^{2} + β A = 2 I$ . Then $α + β$ is equal to2022 · MCQ
Let $S$ be the set containing all $3 \times 3$ matrices with entries from ${- 1, 0, 1}$ . The total number of matrices $A \in S$ such that the sum of all the diagonal elements of $A^{T} A$ is 6 is .2022 · Numerical
Let the system of linear equations $x + 2 y + z = 2$ , $α x + 3 y - z = α$ , $- α x + y + 2 z = - α$ be inconsistent. Then $α$ is equal to :2022 · MCQ
Let $A = [12 - 1 α]$ and $B = [β 1 10], α, β \in R$ . Let $α_{1}$ be the value of $α$ which…2022 · Numerical