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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

4. If $A$ is any square matrix then $A-A^t$ is a

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

11. Transpose of a row matrix is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

17. The inverse of the unit matrix is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

20. The cofactor $A_{22}$ of $\begin{bmatrix} 1 & 2 & 4 \\ -1 & 2 & 5 \\ 0 & 1 & -1\end{bmatrix}$ 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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Important MCQs Variations Class 10 – 1

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The post is about Multiple Choice Questions about Variations Class 10 from Chapter 3. There are 20 MCQs from Class 10 mathematics Chapter 3. Let us start with the quiz.

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MCQs Variations Class 10 Mathematics

  • In a ratio $a:b$, $a$ is called
  • In a ratio $x:y$, $y$ is called
  • In a proportion $a:b::c:d$, $a$ and $d$ are called
  • In a proportion $a:b::c:d$, $b$ and $c$ are called
  • In continued proportion $a:b=b:c$, $ac=b^2$, $b$ is said to be ——— proportional.
  • In continued proportion $a:b=b:c$, $c$ is said to be —— proportional to $a$ and $b$.
  • Find $x$ in proportion $4:x::5:15$
  • If $u \propto v^2$ then
  • If $y^2 \propto \frac{1}{x^3}$ then
  • If $\frac{u}{v} = \frac{v}{2}=k$ then
  • The third proportional of $x^2$ and $y^2$ is
  • The fourth proportional $w$ of $x:y::v:w$ is
  • If $a:b=x:y$ then alternate is
  • If $a:b=x:y$ then inverted property is
  • If $\frac{a}{b}=\frac{c}{d}$ then components property is
  • The simplest form of the ratio $\frac{(x+y)(x^2+xy+y^2)}{x^3-y^3}$ is
  • Newton’s law of Gravitation is an example of
  • the relation between radius and circumference of a circle is an example of
  • If $\frac{24}{7}=\frac{6}{x}$ then $4x=$ ———.
  • If $\frac{5a}{3x} = \frac{15b}{y}$ then $ay=$ ———-.
Chapter 3 Mathematics Variations Class 10 with Answers

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