Matrices and Determinants

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

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.

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. 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

 
 
 
 

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

 
 
 
 

3. Which of the following results is valid

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

10. The word matrix was first used by

 
 
 
 

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

 
 
 
 

12. For equality of two matrices

 
 
 
 

13. 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

 
 
 
 

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

 
 
 
 

15. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

20. 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

 
 
 
 

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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Important Matrices and Determinants Quiz

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

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.

Matrices and Determinants Quiz

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.

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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Matrices and Determinants 1

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The post is about Online MCQS about Matrices and Determinants quiz with answers. The quiz contains 20 multiple-choice questions about matrices and determinants from Chapter 3 of First-Year Mathematics. Let us start with the Matrices and Determinants Quiz.

Please go to Matrices and Determinants 1 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.

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.

Online MCQs Matrices and Determinants

  • A rectangular array of numbers enclosed by a pair of brackets is called a
  • The horizontal lines of numbers in a matrix are called
  • The vertical lines of numbers in a matrix are called
  • If a matrix $A$ has $m$ rows and $n$ column, then order of $A$ is
  • The element $a_{ij}$ of any matrix $A$ is present in
  • Any matrix $A$ is called real if all $a_{ij}$ are
  • If any matrix $A$ has only one row, then it is called
  • If any matrix $A$ has only one column, then it is called
  • If a matrix $A$ has the same number of rows and columns, then Matrix $A$ is called
  • If any Matrix $A$ has different numbers of rows and columns, then matrix $A$ is
  • Any matrix of order $m\times 1$ is called
  • Any matrix of order $1\times n$ is called
  • For the square matrix $A=[a_{ij}]{n\times n}$, the elements $a{11}, a_{22}, \cdots, _{nn}$ are
  • For the matrix $A=[a_{ij}]{n\times n}$, the elements $a{1n}, a_{2n-1}, a_{3n-2}, a_{4n-3}, \cdots, a_{n1}$ form
  • For the square matrix $A=[a_{ij}]$, if all $a_{ij}=0, i\ne j$ and at least one $a_{ii}\ne 0, i=j$, then $A$ matrix is called
  • For the square matrix $A=[a_{ij}]$, if all $a_{ij}=0, i\ne j$ and all $a_{ij}=k$ (non-zero) for $i=j$, then matrix $A$ is called
  • If all off-diagonal elements are zeros and at least one of the leading diagonals is non-zero, then the matrix is called
  • The matrix $[6]$ is
  • If matrix $A$ is of order $m\times n$, then the matrix of order $n\times m$ is called
  • Two matrices $A$ and $B$ are said to be conformable for addition if

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