MCQs Mathematics

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

 
 
 
 

2. $(kAB)^t=$

 
 
 
 

3. An inverse of a matrix exists if it is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

12. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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.

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?

Try another Test about Random Variables

Basic Statistics and Data Analysis

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

Take another test about MCQs on Sequence and Series

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Top First Year Number System Quiz

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This post contains all the MCQs about the First Year Number System Quiz from the Mathematics Book of Intermediate Part-I (First Year). Each Quiz contains 20 multiple-choice questions from the number system.

A numeral system is a way used to express numbers; that is, it is a mathematical writing system or notation that is used to represent the numbers of a given set consistently by using either digits or other symbols. The same sequence of symbols may represent different numbers in different numeral systems. Click the links below to start with First Year Number System Quiz.

First Year Number System Quiz

MCQs Number System 7
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MCQs Number System 3MCQs Number System 2MCQs Number System 1
First Year Number System Quiz

The commonly used number system is the decimal positional numeral system. The decimal refers to 10 symbols: $0, 1, 2, 3, 4, 5, 6, 7, 8, 9$ to construct all numbers.

In mathematics courses you have heard about number systems of whole numbers and real numbers, however, in the context of computer systems, the other types of number systems are:

  • The decimal number system
  • The binary number system
  • The octal number system and
  • The hexadecimal number system

Natural Numbers

One can use Natural numbers to count the number of subjects or objects. Natural numbers are also called counting numbers. The numbers $1,2,3,\cdots$ are all natural numbers.

Whole Numbers

The numbers $0,1,2,⋯$ are all whole numbers. Note that all the whole numbers except $0$ are natural numbers.

Number Line

The whole numbers are represented by points on a line called the number line. For this purpose, draw a straight line on a page. Choose a point on the line and label it as 0. Starting with 0, mark off equal intervals of any suitable length. Label the marked points as $1,2,⋯$, as shown in the Figure below. The figure below represents real numbers since it includes the negative number (numbers on the left of 0 in this diagram are called negative numbers).

Real Number Line

Also, See MCQs about Basic Statistics

MCQs Number System First Year 4

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The Post is about the MCQs Number System from Mathematics of Intermediate Part-I (First Year). Let us start with the Online Number System Quiz with Answers. MCQs are about the number system Test for the preparation of mathematics.

Please go to MCQs Number System First Year 4 to view the test

A numeral system is a way of expressing numbers; that is, it is a mathematical writing system or notation used to represent the numbers of a given set consistently by using either digits or other symbols. The same sequence of symbols may represent different numbers in different numeral systems.

Number System

Decimal Number System

The commonly used number system is the decimal positional numeral system. The decimal refers to 10 symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. These numbers are used to construct all other numbers such as 10, 11, 12, 13, and so on.

In mathematics courses you have heard about number systems of whole numbers and real numbers, however, in the context of computer systems, the other types of number systems are (i) The decimal number system (Ten Symbols or Numbers), (ii) The binary number system (Two Numbers or Symbols), (iii) The octal number system (Eight Numbers or Symbols)and, (iv) The hexadecimal number system (Sixteen Numbers or Symbols).

MCQs Number System First Year

  • Imaginary part of $(-2+3i)^2$ is equal to
  • If $R$ is the set of real numbers, then product $R\times R$ is called
  • The geometrical plane on which the coordinate system has been specified is called
  • If a point $A$ of a coordinate plane corresponds to the ordered pair $(a, b)$, then $a$ and $b$ are called
  • If point $A$ of the coordinate plane corresponds to the ordered pair $(a,b)$ then
  • The modulus value of a complex number $z=x+iy$ is the distance from
  • If $z=x+iy$ then $|z|=?
  • If $z_1=2+3i$, $z_2=1-i$ then $|z_1z_2|=$
  • The correct statement of De Mover’s Theorem is $(cos \theta + i\, sin\, \theta)^n$ is equal to
  • Polar form of $1+i\sqrt{3}$ is
  • Real part of $(x+iy)^n$ is
  • Polar form of $(\sqrt{3} + i)$ is
  • If $z=3-5i$ then $|z|^2$ is equal to
  • If $z=a+ib$ then $(z^2+\overline{z}^2)$ is equal to
  • Golden rule of fraction is that for $k\ne 0 $, $\frac{a}{b} =$
  • The set ${1, -1}$ possesses closure property w.r.t.
  • The modulus of $z$ is
  • 0.1428571428571…. is
  • If $|x+5i|=3$ then $x$ is equal to
  • If $z$ is a real number then

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Also, See MCQs about Basic Statistics