CUET CUET Mathematics 2024 - 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 2024

Algebra

Matrices & Determinants

Easy

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 :

\mathrm{I}+\mathrm{A}

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

\mathrm{I}-\mathrm{A}

\mathrm{A}

Correct Option: 4

Will be added.

Related questions:

CUET Mathematics 2024

A_{n \times n}

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

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

\mathrm{A}(\operatorname{adj} \mathrm{A})=|\mathrm{A}|

\left|\mathrm{A}^{-1}\right|=\frac{1}{|\mathrm{~A}|}

CUET Mathematics 2024

A

B

A B-B A

CUET Mathematics 2024

A, B

C

A=\left[\begin{array}{ll}1 & 4 \\ 3 & 2 a\end{array}\right], B=\left[\begin{array}{ll}3 b & 5 \\ a & 2\end{array}\right]

C=\left[\begin{array}{cc}a+b+c & c+1 \\ a+c & c\end{array}\right]

a b c