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CUET Mathematics 2024 PYQs

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CUET Mathematics 2024

Algebra

>

Matrices & Determinants

Medium

If $A, B$ and $C$ are three singular matrices given by $A=\left[\begin{array}{ll}1 & 4 \\ 3 & 2 a\end{array}\right], B=\left[\begin{array}{ll}3 b & 5 \\ a & 2\end{array}\right]$ and $C=\left[\begin{array}{cc}a+b+c & c+1 \\ a+c & c\end{array}\right]$ , then the value of $a b c$ is :

15

30

45

90

Correct Option: 3

Will be added.

Related questions:

CUET Mathematics 2024

A

is a square matrix and

I

is an identity matrix such that

A^{2}=A

A(I-2 A)^{3}+2 A^{3}

CUET Mathematics 2024

For a square matrix

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

are symmetric matrices of the same order, then

A B-B A