MCQs Matrices and Determinants Questions 4

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.

Online Multiple Choice Questions Chapter 3 from First Year Mathematics

1. 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

 
 
 
 

2. For any non-singular matrices $A$ and $B$, it is true that

 
 
 
 

3. A triangular matrix is always a

 
 
 
 

4. In echelon form of a matrix, the first non-zero entry is called

 
 
 
 

5. For any square matrix $A$. It is always true that

 
 
 
 

6. For any non-singular matrix $A$, it is true that

 
 
 
 

7. If all entries of a square matrix of order 3 are multiplied by $k$ then the value of $|kA|$ is equal to

 
 
 
 

8. For any square matrix $A$, $|A|$ is equal to

 
 
 
 

9. A square matrix $A$ is skew Hermitian if

 
 
 
 

10. A square matrix $A=[a_{ij}]$ for which all $a_{ij} = 0$, $i<j$ then $A$ is called

 
 
 
 

11. For any non-singular matrix $A$, it is true that

 
 
 
 

12. The multiplicative inverse of a matrix exists only if it is

 
 
 
 

13. 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

 
 
 
 

14. The additive inverse of a matrix exists only if it is

 
 
 
 

15. Any square matrix $A$ is called a singular if

 
 
 
 

16. A square matrix $A=[a_{ij}]$ for which all $a_{ij}=0$, $i>j$ then $A$ is called

 
 
 
 

17. A square matrix $A$ is symmetric if

 
 
 
 

18. A square matrix $A$ is Hermitian if

 
 
 
 

19. a square matrix $A$ is skew symmetric if

 
 
 
 

20. The main diagonal elements of a skew-symmetric matrix must be

 
 
 
 

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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