# 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.

Online Multiple Choice Questions about Matrices and Determinants from First Year Mathematics Book

1. If $A$ is a symmetric (skew-symmetric) then $A^2$ must be

2. If $\begin{bmatrix} a & b \\ 0 & 7\end{bmatrix}= \begin{bmatrix}2&3 \\ 1 &-9 \end{bmatrix}$ then

3. If $A$ is any square matrix then $A+(\overline{A})^t$ is a

4. If a system of linear equations has no solution at all, then it is called a/an

5. The value of $\lambda$ for which the system $x+2y=4$; $2x+\lambda y = -3$ does not possess the unique solution.

6. Transpose of a row matrix is

7. If $A$ is any square matrix then $A-A^t$ is a

8. If the system $x+2y=0$; $2x+\lambda y=0$ has non-trivial solution, then $\lambda$ is

9. If any matrix $A$ has different numbers of rows and column then $A$ is

10. The number of non-zero rows in the echelon form of a matrix is called

11. If $A$ is any square matrix then $A+A^t$ is a

12. In a homogeneous system of linear equations, the solution (0, 0, 0) is

13. The inverse of the unit matrix is

14. The cofactor $A_{22}$ of $\begin{bmatrix} 1 & 2 & 4 \\ -1 & 2 & 5 \\ 0 & 1 & -1\end{bmatrix}$ is

15. If $AX=O$ then $X=$?

16. If all the entries the entries of a row of a square matrix $A$ are zero, then $|A|$ equals

17. If $\begin{vmatrix}x & 4 \\ 5 & 10\end{vmatrix}=0 \Rightarrow x$ equals

18. If $A$ is any square matrix then $A-(\overline{A}^t$ is a

19. If $\begin{bmatrix}2x+3& 1 \\ -3 & 4 \end{bmatrix} = \begin{bmatrix} -1+x & 1 \\ -3 & 4\end{bmatrix}$ then $x=$?

20. If $A=[a_{ij}]_{3\times 3}$ then $I_3\, A$ is equal to

### 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

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