CUET Mathematics 2026 31st May Shift 2 PYQs

For every square matrix $A$ of order $n\times n$, which of the following statements are correct ?

(A) $(adjA)A = A(adjA) = |A|I$, where $I$ is identity matrix of order n.

(B) $|kA|=k^n|A|$, k is any scalar.

(C) $|adjA|=|A|^n$

(D) $A^2=A$

Choose the correct answer from the options given below:

If A is a skew symmetric matrix, then $A^2$ is a

Consider the system of equation $x+y+3z=8$, $2x+y+bz=24$, $x+ay+3z=10$, then which of the following statements are True?

(A) The system of equations has a unique solution if $a=2, b=3$

(B) The system of equations is inconsistent if $a=1, b \in R$ be any real number.

(C) The system of equations is inconsistent if $a \neq 1$, and $b \neq 6$

(D) The system of equations has a unique solution if $a=4$ and $b=3$.

Choose the correct answer from the options given below: