CUET Mathematics - If A is a square matrix and I is an identity matrix such that A^2=A, then A(I-2 A)^3+2 A^3 is equal to : | PYQs + Solutions

CUET Mathematics

Algebra

Easy

core

$\mathrm{I}+\mathrm{A}$

$\mathrm{I}+2 \mathrm{~A}$

$\mathrm{I}-\mathrm{A}$

$\mathrm{A}$

✅ Correct Option: 4

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CUET Mathematics 2024 Slot 1

For a square matrix $A_{n \times n}$

(A) $|\operatorname{adj} \mathrm{A}|=|\mathrm{A}|^{\mathrm{n}-1}$

(B) $|\mathrm{A}|=|\operatorname{adj} \mathrm{A}|^{\mathrm{n}-1}$

(D) $\left|\mathrm{A}^{-1}\right|=\frac{1}{|\mathrm{~A}|}$

CUET Mathematics PYQs