Mathematics Part1

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

 Diagonal

 Rectangular

 Square

 All of the options

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

 $|A| = -|A|^t$

 $|A| \ne |A|^t$

 $|A| > |A|^t$

 $|A| = |A|^t$

3. The word matrix was first used by

 Newton

 James Sylvester

 Einstein

 Arthur Cayley

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

 Identity Matrix

 Column Matrix

 Row Matrix

 Square Matrix

5. 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

 Null Matrix

 Diagonal Matrix

 Unit Matrix

 Scalar Matrix

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

 Entries

 Elements

 Both Entries and Elements

 Square Brackets

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

 Rectangular Matrix

 Diagonal Matrix

 Identity Matrix

 Square Matrix

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

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

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

 All values are zero

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

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

 Identity Matrix

 Square Matrix

 Singular Matrix

 Non-Singular Matrix

10. 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

 $a_{13}, a_{22}, a_{33}$

 $a_{31}, a_{22}, a_{13}$

 $a_{11}, a_{22}, a_{33}$

 $a_{11}, a_{12}, a_{13}$

11. For equality of two matrices

 Elements must be same

 Order must be same

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

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

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

 Transpose

 Inverse

 Adjoint

 Determinant

13. 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

 Diagonal Matrix

 All of the options

 Identity Matrix

 Scalar Matrix

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

 Unit values

 Unit Diagonal

 Constant Diagonal

 Leading Diagonal

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

 Einstein

 Cauchy

 Newton

 Arthur Cayley

16. Which of the following results is valid

 $(A-B)^t = A^t – B^t$

 $(A+B)^t = A^t + b^t$

 (AB)^t = B^tA^t$

 All of the options

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

 Diagonal next to Principal Diagonal

 Principal Diagonal

 Leading Diagonal

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

 $n \times m$

 $m \times m$

 $n \times n$

 $m\times n$

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

 $-1, 1/3$

 $1, 1/3$

 $-1, 2$

 $1, -2$

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

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

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

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

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

 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

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