1
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
2
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
3
KCET 2025
MCQ (Single Correct Answer)
+1
-0

If $A=\left[\begin{array}{ll}k & 2 \\ 2 & k\end{array}\right]$ and $\left|A^3\right|=125$, then the value of $k$ is

A
$\pm 2$
B
$\pm 3$
C
-5
D
-4
4
KCET 2025
MCQ (Single Correct Answer)
+1
-0

If $A$ is a square matrix satisfying the equation $A^2-5 A+7 I=0$, where $I$ is the $I$ dentity matrix and 0 is null matrix of same order, then $A^{-1}=$

A
$\frac{1}{7}(5 \mathrm{I}-\mathrm{A})$
B
$\frac{1}{7}(\mathrm{~A}-5 \mathrm{I})$
C
$7(5 \mathrm{I}-\mathrm{A})$
D
$\frac{1}{5}(7 \mathrm{I}-\mathrm{A})$
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