Matrices and Determinants jee mains questions | JEE Main Maths Matrices and Determinants Previous Year Question

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Topic Question Set

Q 31 :

For the matrices $A = [[\begin{matrix} 3 & - 4 \\ 1 & - 1 \end{matrix}]] and B = [[\begin{matrix} - 29 & 49 \\ - 13 & 18 \end{matrix}]],$ if $((A^{15} + B)) [[\begin{matrix} x \\ y \end{matrix}]] = [[\begin{matrix} 0 \\ 0 \end{matrix}]],$ then among the following which one is true? [2026]

$x = 16, y = 3$
$x = 11, y = 2$
$x = 5, y = 7$
$x = 18, y = 11$

1

2

3

4

(2)

Q 32 :

Let A, B and C be three $2 \times 2$ matrices with real entries such that $B = {(I + A)}^{- 1} a n d A + C = I .$ If $B C = [[\begin{matrix} 1 & - 5 \\ - 1 & 2 \end{matrix}]] and C B [[\begin{matrix} x_{1} \\ x_{2} \end{matrix}]] = [[\begin{matrix} 12 \\ - 6 \end{matrix}]],$ then $x_{1} + x_{2}$ is. [2026]

-2
4
2
0

1

2

3

4

(4)

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