CUET CUET Mathematics 2024 - If P=[arrayr-1 \\ 2 \\ 1array] and Q=[arraylll2 & -4 & 1array] are two matrices, then (P Q)^ will be : | PYQs + Solutions | AfterBoards
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CUET Mathematics 2024

Algebra
>
Matrices & Determinants

Easy

If P=[−121]P=\left[\begin{array}{r}-1 \\ 2 \\ 1\end{array}\right] and Q=[2−41]Q=\left[\begin{array}{lll}2 & -4 & 1\end{array}\right] are two matrices, then (PQ)′(P Q)^{\prime} will be :

Correct Option: 2
Will be added.

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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 :

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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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