Matrices and Determinants - First Year Mathematics Quiz

MCQs on Matrices and Determinants 5

July 27, 2024 by Muhammad Imdad Ullah

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

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MCQs Matrices and Determinants Questions 4

July 25, 2024 by Muhammad Imdad Ullah

Online Multiple-Choice Questions from Chapter 3 of First Year Mathematics (Intermediate Part-I). The Matrices and Determinants Questions test contains 20 MCQ-type questions with Answers. Let us start with the Matrices and Determinant Questions Quiz.

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Matrices and Determinants Questions Test with Answers

matrices and Determinants Questions quiz First year Mathematics

Let $A=[a_{ij}]$ be a square matrix and $M_{ij}$ is the determinant obtained by deleting $i$th row and $j$th column of $A$. Then minor of $a_{ij}$ is equal to
Let $A=[a_{ij}]$ be a square matrix and $M_{ij}$ is the determinant obtained by deleting $i$th row and $j$th column of $A$. The cofactor of $a_{ij}$ is equal to
For any square matrix $A$. It is always true that
For any square matrix $A$, $|A|$ is equal to
If all entries of a square matrix of order 3 are multiplied by $k$ then the value of $|kA|$ is equal to
For any non-singular matrix $A$, it is true that
For any non-singular matrix $A$, it is true that
For any non-singular matrices $A$ and $B$, it is true that
A square matrix $A=[a_{ij}]$ for which all $a_{ij}=0$, $i>j$ then $A$ is called
A square matrix $A=[a_{ij}]$ for which all $a_{ij} = 0$, $i<j$ then $A$ is called
A triangular matrix is always a
Any square matrix $A$ is called a singular if
A square matrix $A$ is symmetric if
a square matrix $A$ is skew symmetric if
A square matrix $A$ is Hermitian if
A square matrix $A$ is skew Hermitian if
The main diagonal elements of a skew-symmetric matrix must be
In echelon form of a matrix, the first non-zero entry is called
The additive inverse of a matrix exists only if it is
The multiplicative inverse of a matrix exists only if it is

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MCQs Matrices and Determinants 3

July 23, 2024February 4, 2024 by Muhammad Imdad Ullah

The quiz contains MCQs matrices from the First Year Mathematics Books. There are 20 MCQs from Chapter 3 (Matrices and Determinants). Online MCQs Matrices and Determinants from Intermediate Mathematics Part-1. Let us start with the Quiz MCQs Matrices.

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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 are called the columns of a matrix. The number of rows and columns of a matrix is called the order of the matrix.

MCQs Matrices and Determinants

If $[a_{ij}]=A$ and $[b_{ij}]=B$ then $A=B$ if and only if
For any two matrices $A$ and $B$, $(A+B)^t$ is equal to
$(AB)^t$ is equal to
$(kAB)^t=$
Let $A$ be any matrix and $n$ is an integer then $A+A+A+\cdots+$ to $n$ terms
Two matrix $A$ and $B$ are conformable for multiplication $AB$ if
If $A$ is a matrix of order $m\times n$ and $B$ is a matrix of order $n\times q$, then order of $AB$ is
If $A$ is of order $2\times 4$ and $B$ of order $4\times 2$ then order of $AB$
If $A$ is of order $2\times 3$ and $B$ of order $4\times 2$ then order of $BA$
If $AB=BA$ then which one is true
For any square matrix $A=\begin{bmatrix} a & b \ c & d \end{bmatrix}$, $|A|$ is equal to
If $A=[-7]$ then $|A|$ is equal to
If $A$ is any square matrix of order 3, then $|kA|$ is equal to
If $A$ is any square matrix and $AB=BA=I$ then $B$ is called
If A+B=B+A=0$ then $B$ is called
If Adjoint of $A=\begin{bmatrix} -1&-2\\3 & 4 \end{bmatrix}$ then matrix $A=$
If $A$ is a non-singular matrix then $A^{-1}$
If $AX=B$ then $X$ is equal to
An inverse of a matrix exists if it is
Which of the property does not hold in matrix multiplication?

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MCQs Matrix and Determinants 2

July 23, 2024December 29, 2023 by 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.

Please go to MCQs Matrix and Determinants 2 to view the test

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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Important Matrices and Determinants Quiz

October 11, 2024December 17, 2023 by Muhammad Imdad Ullah

The post is about Online MCQS about Matrices and Determinants Quiz. The post contains MCQs from Chapter 3 (Matrices and Determinants) of First Year Mathematics (Intermediate Part-I) Book. Click the link below to take the matrices and determinants quiz.

Matrices and Determinants Quiz

MCQs Matrices and Determinants	MCQs Matrices and Determinants 5	MCQs Matrices and Determinants 4
MCQs Matrices and Determinants 3	MCQs Matrices and Determinants 2	MCQs Matrices and Determinants 1

The matrices and determinants are the workhorses of linear algebra. Their ability to organize data, solve equations, and analyze transformations makes them essential tools in Statistics, Mathematics, Physics, Computer Science, engineering, economics, and many other disciplines.

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