1. A square matrix all of whose elements except the main diagonal are zeros is called a

null matrix

singular matrix

diagonal matrix

symmetric matrix

2. Square matrix A for which A^{t} = -A is called

identity matrix

hermitian matrix

symmetric matrix

skew-hermitian matrix

3. The transpose of a column matrix is a :

null matrix

row matrix

scalar matrix

column matrix

4. This matrix is a $\left[\begin{array}{ccc}6& 0& 0\\ 0& 1& 0\\ 0& 0& 6\end{array}\right]$

scalar matrix

identity matrix

diagonal matrix

triangular matrix

5. A matrix whose each element is zero is called a :

null matrix

scalar matrix

identity matrix

symmetric matrix

6. The transpose of a square matrix is a :

null matrix

row matrix

square matrix

column matrix

7. This matrix is $\left[\begin{array}{ccc}1& 0& 0\\ 0& 1& 0\\ 0& 0& 1\end{array}\right]$

unit matrix

null matrix

triangular matrix

rectangular matrix

8. This matrix is a _______

$\left[\begin{array}{c}1\\ 2\\ 3\end{array}\right]$

null matrix

zero matrix

scalar matrix

column matrix

9. Matrices are represented by :

small letters

real numbers

capital letters

natural numbers

10. The determinant of identity matrix is :

1

0

Depends on the matrix

None of the mentioned

11. The order of a matrix [2 5 7] is

3 x 3

1 x 1

3 x 1

1 x 3

12. If A is a symmetric matrix, Then A^{t} =

A

|A|

0

diagonal Matrix

13. For any non singular matrix A, A^{-1}

|A|adj A

1/|A|adj A

adj A\|A|

None of above

14. [a b c] is a

Zero Matrix

Diagonal Matrix

Column Matrix

Row Matrix

15. The transpose of a square matrix is a

rectangular matrix

Diagonal Matrix

Square Matrix

Scaler Matrix

16. The transpose of a column matrix is

Zero Matrix

Diagonal Matrix

Column Matrix

Row Matrix

17. The transpose of a rectangular matrix is a

rectangular matrix

diagonal matrix

square matrix

scaler matrix

18. Matrices obtained by chainging row and columns is called

Rectangular Matrix

Transpose

Symetric

None of Above

19. A Matrix having m rows and n columns with m = n is said to be a

Rectangular Matrix

Square Matrix

Identity Matrix

Scaler Matrix

20. The additive inverse of a matrix A is

A

|A|

A^{2}

adj A / |A|

21. If |A| = 0, then A is

Zero Matrix

Singular Matrix

Non Singular Matrix

0

22. In a matrix multiplication for A and B, (AB)^{t}

A^{t}B^{t}

B^{t}A^{t}

1/AB

AB

23. If AB exists, Then (AB)^{-1} is

A^{-1}B^{-1}

B^{-1}A^{-1}

AB

None of the Above

24. Equations having a common solution are called

Linear equations

Homogeneous equations

Simultaneous Equation

None of the above

25. Two matrices A and B are multiplied to get AB if

both are rectangular

both have same order

no of columns of A is equal to columns of B

no of rows of A is equal to no of columns of B

26. If |A| = 0, then A is

zero matrix

singular matrix

non-singular matrix

0

27. If A is a symmetric matrix, then At =

A

|A|

0

diagonal matrix

28. If A is a matrix of order m x n and B is a matrix of order n x p then order of AB is

p x m

p x n

n x p

m x p

29. If |A| ≠ 0, then A is

zero matrix

singular matrix

non - singular matrix

diagonal matrix

30. If A is a skew symmetric matrix, then A^{t}

-A

A

0

diagonal Matrix