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CUET Mathematics 2024 PYQs

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CUET Mathematics 2024

Algebra
>
Matrices & Determinants

Easy

An even number is the determinant of \newline (A) [1−1−15]\left[\begin{array}{rr}1 & -1 \\ -1 & 5\end{array}\right]
(B) [13−1−115]\left[\begin{array}{cc}13 & -1 \\ -1 & 15\end{array}\right]
(C) [16−1−1115]\left[\begin{array}{rr}16 & -1 \\ -11 & 15\end{array}\right]
(D) [6−121115]\left[\begin{array}{rr}6 & -12 \\ 11 & 15\end{array}\right]

Choose the correct answer from the options given below :

Correct Option: 1
.

Related questions:

CUET Mathematics 2024

If AA is a square matrix and II is an identity matrix such that A2=AA^{2}=A, then A(I−2A)3+2A3A(I-2 A)^{3}+2 A^{3} is equal to :

CUET Mathematics 2024

For a square matrix An×nA_{n \times n}
(A) ∣adj⁡A∣=∣A∣n−1|\operatorname{adj} \mathrm{A}|=|\mathrm{A}|^{\mathrm{n}-1}
(B) ∣A∣=∣adj⁡A∣n−1|\mathrm{A}|=|\operatorname{adj} \mathrm{A}|^{\mathrm{n}-1}
(C) A(adj⁡A)=∣A∣\mathrm{A}(\operatorname{adj} \mathrm{A})=|\mathrm{A}|
(D) ∣A−1∣=1∣ A∣\left|\mathrm{A}^{-1}\right|=\frac{1}{|\mathrm{~A}|}

CUET Mathematics 2024

If AA and BB are symmetric matrices of the same order, then AB−BAA B-B A is a :

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