MCQs Matrices and Determinants 3

Online MCQs Matrices and Determinants from Intermediate Mathematics Part-1.

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 $A$ is of order $2\times 4$ and $B$ of order $4\times 2$ then order of $AB$

 
 
 
 

2. If $A$ is any square matrix and $AB=BA=I$ then $B$ is called

 
 
 
 

3. If $A$ is any square matrix of order 3, then $|kA|$ is equal to

 
 
 
 

4. For any two matrices $A$ and $B$, $(A+B)^t$ is equal to

 
 
 
 

5. An inverse of a matrix exists if it is

 
 
 
 

6. If Adjoint of $A=\begin{bmatrix} -1&-2 \\ 3 & 4 \end{bmatrix}$ then matrix $A=$

 
 
 
 

7. If $AX=B$ then $X$ is equal to

 
 
 
 

8. Which of the property does not hold in matrix multiplication?

 
 
 
 

9. If $A$ is of order $2\times 3$ and $B$ of order $4\times 2$ then order of $BA$

 
 
 
 

10. If A+B=B+A=0$ then $B$ is called

 
 
 
 

11. $(kAB)^t=$

 
 
 
 

12. If $AB=BA$ then which one is true

 
 
 
 

13. If $A$ is a non-singular matrix then $A^{-1}$

 
 
 
 

14. If $A=[-7]$ then $|A|$ is equal to

 
 
 
 

15. Let $A$ be any matrix and $n$ is an integer then $A+A+A+\cdots+$ to $n$ terms

 
 
 
 

16. If $[a_{ij}]=A$ and $[b_{ij}]=B$ then $A=B$ if and only if

 
 
 
 

17. 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

 
 
 
 

18. $(AB)^t$ is equal to

 
 
 
 

19. Two matrix $A$ and $B$ are conformable for multiplication $AB$ if

 
 
 
 

20. For any square matrix $A=\begin{bmatrix} a & b \\ c & d \end{bmatrix}$, $|A|$ is equal to

 
 
 
 


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

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

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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 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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Sequence and Series Quizzes

This post is about all the Online Quizzes related to Sequence and Series from the Mathematics Book of Part I (First Year). Click the links below to start with Online MCQs Sequence and Series Quizzes.

MCQs Sequence and SeriesMCQs Sequence and SeriesMCQs Sequence and Series 4
MCQs Sequence and Series 3MCQs Sequence and Series 2MCQs Sequence and Series 1

A sequence is an ordered set of numbers formed according to some definite rule. A sequence can be defined as a function whose domain is a subset of natural numbers. Mathematically, a sequence is denoted by $\{a_n\}$ where $n\in N$.

Some examples of sequence are:

  • $1,2,3,\cdots$
  • $2, 4, 6, 8, \cdots$
  • $\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \cdots$

The term $a_n$ is called the general term or $n$th term of a sequence. If all numbers of a sequence are real numbers then it is called a real sequence. If the domain of a sequence is a finite set, then the sequence is finite otherwise the sequence is infinite. An infinite sequence has no last term.

If the terms of a sequence follow a certain pattern, then it is called a progression:

  • Arithmetic Progression (AP)
    A sequence $\{a_n\}$ is an Arithmetic Sequence or Arithmetic Progression if the difference $a_n – a_{n-1}$ is the same for all $n \in N$ and $n>1$.
  • Geometric Progression (GP)
    A sequence $\{a_n\}$ in which $\frac{a_n}{a_{n-1}}$ is same non-zero number for al l$n\in N$ and $n>1$ is called Geometric Sequence or Geometric Progression.
  • Harmonic Progression (HP)
    A Harmonic Progression is a sequence of numbers whose reciprocals form an Arithmetic Progression. A general form of Harmonic Progression is $\frac{1}{a_1}, \frac{1}{a_1+d}, \frac{1}{a_1+2d}, \cdots$, where $a_n=\frac{1}{a_1+(n-1)d}$
Sequence and Series

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Matrices and Determinants Quiz

The post is about Online MCQS about Matrices and Determinants Quiz. Click the link below to take the matrices and determinants quiz.

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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.

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.

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