Muhammad Imdad Ullah

The post is about MCQs Matrix and Determinants from Chapter 3 of the First Year Mathematics book. There are 20 Multiple Choice Questions. Let us start with the MCQs Matrix and Determinants Quiz.

Online MCQs about Matrix and Determinants from Mathematics of Intermediate first year.

Multiple Choice Questions about Matrices and Determinant from First Year Mathematics Book for the preparation of Examination and learning matrices in a quicker way.

1. Let $A=[a_{ij}]_{n \times n}$, if $A_{ij=0\,\, \forall \,\, i\ne j$ and $a_{ij} =1\,\, \forall \,\ i=j$ then $A$ is said to be

 All of the options

 Scalar Matrix

 Diagonal Matrix

 Identity Matrix

2. A matrix of order $1\times n$ is called

 Column Matrix

 Identity Matrix

 Square Matrix

 Row Matrix

3. Interchanging of rows into columns (or columns into rows) is called

 Inverse

 Adjoint

 Transpose

 Determinant

4. The order of a matrix having $m$ rows and $n$ columns is

 $m\times n$

 $n \times n$

 $n \times m$

 $m \times m$

5. If $\begin{bmatrix}=x+3 & 1\\ -3 & 3y-4\end{bmatrix} = \begin{bmatrix}2 &1\\ -3 & 2\end{bmatrix}$ then $x$ and $y$ are

 $-1, 1/3$

 $1, 1/3$

 $1, -2$

 $-1, 2$

6. Which of the following results is true for a square matrix?

 $|A| = |A|^t$

 $|A| > |A|^t$

 $|A| \ne |A|^t$

 $|A| = -|A|^t$

7. Which of the following results is valid

 $(A+B)^t = A^t + b^t$

 All of the options

 $(A-B)^t = A^t – B^t$

 (AB)^t = B^tA^t$

8. The numbers used in rows or columns of a matrix are called

 Square Brackets

 Both Entries and Elements

 Entries

 Elements

9. If $A=\begin{bmatrix}-a & -b \\ c & d\end{bmatrix}$ then adjoint of $A$

 $\begin{bmatrix} d & b \\ -c & -a \end{bmatrix}$

 $\begin{bmatrix} d & c \\ -b & -a \end{bmatrix}$

 $\begin{bmatrix} d & c \\ -b & a \end{bmatrix}$

 $\begin{bmatrix} a & c \\ -b & -d \end{bmatrix}$

10. Who used the theory of matrices in linear transformation?

 Cauchy

 Einstein

 Newton

 Arthur Cayley

11. If the Matrix $A$ has $m$ rows and $n$ columns such that $m=n$ then $A$ is called

 Diagonal Matrix

 Rectangular Matrix

 Square Matrix

 Identity Matrix

12. The transpose of a matrix $A$ is only possible if the matrix is

 Diagonal

 All of the options

 Rectangular

 Square

13. If $|A|=0$ then $A$ is called

 Non-Singular Matrix

 Identity Matrix

 Singular Matrix

 Square Matrix

14. Let $A[a_{ij}]_{m\times n}$, $a_{ij}=0 \,\, \forall i\ne j$ and $a_{ij} = k(k\ne 0)\,\, \forall i=j$ then matrix $A$ is called

 Unit Matrix

 Diagonal Matrix

 Scalar Matrix

 Null Matrix

15. The principal diagonal of a square matrix is also called

 Unit values

 Constant Diagonal

 Leading Diagonal

 Unit Diagonal

16. The word matrix was first used by

 Einstein

 Arthur Cayley

 Newton

 James Sylvester

17. If $A=[a_{ij}]_{m \times n}$ be a square matrix of order $n$, then $a_{11}, a_{22}, a_{33}, \cdots, $a_{nn}$ forms

 Diagonal Matrix

 Leading Diagonal

 Principal Diagonal

 Diagonal next to Principal Diagonal

18. Let $A=[a_{ij}]_{m \times n}$ is diagonal matrix if

 $a_{ij} = 0\, \, \forall\,\, i\ne j$ and at least one $a_{ij} \ne 0$ for all $i=j$

 $a_{ij} = 0\, \, \forall\,\, i= j$ and $a_{ij} \ne 0$ for all $i=j$

 $a_{ij} \ne 0\, \, \forall\,\, i \ne j$ and $a_{ij} \ne 0$ for all $i=j$

 All values are zero

19. For equality of two matrices

 Numbers of rows in first matrix should be equal to number of columns in second matrix

 Numbers of columns in first matrix should be equal to number of rows in second matrix

 Order must be same

 Elements must be same

20. If $A=\begin{bmatrix} a_{11} & a_{12} & a_{13}\\ a_{21} & a_{22} & a_{23}\\ a_{31} & a_{32} & a_{33}\\ \end{bmatrix}$ then the entries of leading diagonal are

 $a_{13}, a_{22}, a_{33}$

 $a_{11}, a_{22}, a_{33}$

 $a_{31}, a_{22}, a_{13}$

 $a_{11}, a_{12}, a_{13}$

 Loading …

A matrix is a rectangular array of numbers arranged in a sequence and enclosed in brackets. A matrix is a rectangular array of mathematical elements arranged into rows and columns according to algebraic rules.

A pair of parentheses $\begin{pmatrix}a&b\\c&d\end{pmatrix}$or a square bracket $\begin{bmatrix}a&b\\c&d\end{bmatrix}$ is used to write matrices (plural of matrix). A matrix is usually denoted by capital letters such as $A, B, C,$ and $X, Y,$ and $Z$. The matrices are used to solve the simultaneous equations.

The horizontal lines of elements of a matrix are called rows of the matrix. The vertical lines of elements of a matrix

MCQs Matrix and Determinants

• The word matrix was first used by
• A matrix of order $1\times n$ is called
• The numbers used in rows or columns of a matrix are called
• Who used the theory of matrices in linear transformation?
• The order of a matrix having $m$ rows and $n$ columns is
• If the Matrix $A$ has $m$ rows and $n$ columns such that $m=n$ then $A$ is called
• For equality of two matrices
• The principal diagonal of a square matrix is also called
• If $A=[a_{ij}]{m \times n}$ be a square matrix of order $n$, then $a{11}, a_{22}, a_{33}, \cdots, $a_{nn}$ forms
• Let $A[a_{ij}]{m\times n}$, $a{ij}=0 \,\, \forall i\ne j$ and $a_{ij} = k(k\ne 0)\,\, \forall i=j$ then matrix $A$ is called
• If $A=\begin{bmatrix} a_{11} & a_{12} & a_{13}\ a_{21} & a_{22} & a_{23}\ a_{31} & a_{32} & a_{33}\ \end{bmatrix}$ then the entries of leading diagonal are
• Let $A=[a_{ij}]{n \times n}$, if $a_{ij}=0\,\, \forall \,\, i\ne j$ and $a_{ij} =1\,\, \forall \,\ i=j$ then $A$ is said to be
• Interchanging of rows into columns (or columns into rows) is called
• The transpose of a matrix $A$ is only possible if the matrix is
• If $|A|=0$ then $A$ is called
• Which of the following results is true for a square matrix?
• If $A=\begin{bmatrix}-a & -b \ c & d\end{bmatrix}$ then adjoint of $A$
• If $\begin{bmatrix}=x+3 & 1\ -3 & 3y-4\end{bmatrix} = \begin{bmatrix}2 &1\ -3 & 2\end{bmatrix}$ then $x$ and $y$ are
• Let $A=[a_{ij}]_{m \times n}$ is diagonal matrix if
• Which of the following results is valid

Take another test about MCQs on Sequence and Series

Visit and Learn R Programming Language