Matrices and Determinants

MCQs about Matrices and Determinants from Chapter 3 of Intermediate Mathematics Part 1 with questions and Answers

MCQs on Matrices and Determinants 5

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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 any square matrix then $A-A^t$ is a

 
 
 
 

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

 
 
 
 

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

 
 
 
 

4. Transpose of a row matrix is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

17. The inverse of the unit matrix is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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
MCQs on matrices and Determinants quiz

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MCQs Matrices and Determinants Questions 4

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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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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.

MCQs Matrices and Determinants

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

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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

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.

MCQs Matrix and Determinants

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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