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KCET 2025
MCQ (Single Correct Answer)
+1
-0

If $A$ is a square matrix such that $A^2=A$, then $(I-A)^3$ is

A
$\mathrm{I}-\mathrm{A}$
B
$A-I$
C
$\mathrm{I}+\mathrm{A}$
D
$-\mathrm{I}-\mathrm{A}$
2
KCET 2025
MCQ (Single Correct Answer)
+1
-0

If $A$ and $B$ are two matrices such that $A B$ is an identity matrix and the order of matrix $B$ is $3 \times 4$, then the order of matrix $A$ is

A
$3 \times 4$
B
$3 \times 3$
C
$4 \times 3$
D
$4 \times 4$
3
KCET 2025
MCQ (Single Correct Answer)
+1
-0
Which of the following statements is not correct?
A
A row matrix has only one row
B
A diagonal matrix has all diagonal elements equal to zero
C
A symmetric matrix A is a square matrix satisfying $\mathrm{A}^{\prime}=\mathrm{A}$.
D
A skew symmetric matrix has all diagonal elements equal to zero
4
KCET 2025
MCQ (Single Correct Answer)
+1
-0
If a matrix $A=\left[\begin{array}{ll}1 & 1 \\ 1 & 1\end{array}\right]$ satisfies $A^6=k A^{\prime}$, then the value of $k$ is
A
32
B
1
C
$\frac{1}{32}$
D
6
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