Mathematics Part1

Online MCQs about First Year Mathematics Part1 and Part2, Intermediate Mathematics Part1 multiple choice questions with answers

MCQs Matrices and Determinants 3

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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.

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

 
 
 
 

2. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

6. An inverse of a matrix exists if it is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

15. $(kAB)^t=$

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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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Sequence and Series Quizzes

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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 $n\in N$.

MCQs Sequence and Series Mathematics Class 11

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, 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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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.

gmstat.com Mathematics Quiz

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