MCQs Matrix and Determinants 2

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

 
 
 
 

2. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

6. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

9. 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

 
 
 
 

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

 
 
 
 

11. 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

 
 
 
 

12. For equality of two matrices

 
 
 
 

13. The word matrix was first used by

 
 
 
 

14. Which of the following results is valid

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 


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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