MCQs on Matrices and Determinants 5

The quiz is about the MCQs on Matrices and Determinants from First Year Mathematics with Answers. There are 20 multiple-choice questions from the Mathematics book of part 1. Let us start with the MCQs on Matrices and Determinants Quiz.

MCQs on Matrices and Determinants First-Year Mathematics

If $\begin{bmatrix} a & b \ 0 & 7\end{bmatrix}= \begin{bmatrix}2&3 \ 1 &-9 \end{bmatrix}$ then
The number of non-zero rows in the echelon form of a matrix is called
If $A$ is any square matrix then $A+A^t$ is a
If $A$ is any square matrix then $A-A^t$ is a
If $A$ is any square matrix then $A+(\overline{A})^t$ is a
If $A$ is any square matrix then $A-(\overline{A}^t$ is a
If $A$ is a symmetric (skew-symmetric) then $A^2$ must be
In a homogeneous system of linear equations, the solution (0, 0, 0) is
If $AX=O$ then $X=$?
If a system of linear equations has no solution at all, then it is called a/an
The value of $\lambda$ for which the system $x+2y=4$; $2x+\lambda y = -3$ does not possess the unique solution.
If the system $x+2y=0$; $2x+\lambda y=0$ has non-trivial solution, then $\lambda$ is
If $\begin{bmatrix}2x+3& 1 \ -3 & 4 \end{bmatrix} = \begin{bmatrix} -1+x & 1 \ -3 & 4\end{bmatrix}$ then $x=$?
The cofactor $A_{22}$ of $\begin{bmatrix} 1 & 2 & 4 \ -1 & 2 & 5 \ 0 & 1 & -1\end{bmatrix}$ is
If $A=[a_{ij}]_{3\times 3}$ then $I_3\, A$ is equal to
If all the entries the entries of a row of a square matrix $A$ are zero, then $|A|$ equals
If $\begin{vmatrix}x & 4 \ 5 & 10\end{vmatrix}=0 \Rightarrow x$ equals
The inverse of the unit matrix is
Transpose of a row matrix is
If any matrix $A$ has different numbers of rows and columns then $A$ is