1: If A is a matrix of order m x n , then the number of elements in each row of A is

Difficulty: easy

Choose the correct option

A: M

B: N

C: M + N

D: M - N

2: If order of a matrix A is m x n , then order At is :

Difficulty: easy

Choose the correct option

A: M x N

B: M x M

C: N x M

D: N x N

3: The matrix obtained by interchanging its rows and columns is called

Difficulty: moderate

Choose the correct option

A: Inverse

B: Transpose

C: Symmetric

D: None

4: If A is a matrix of order m x n and B is a matrix of order n x p , then the order of AB is :

Difficulty: difficult

Choose the correct option

A: p x m

B: p x n

C: n x p

D: m x p

5: If A =
[

a d

b e

c f

]
then order of matrix A^t is

Difficulty: moderate

Choose the correct option

A: 3 x 2

B: 2 x 3

C: 2 x 2

D: 3 x 3

6: If A is a matrix of order 3 x 4, then order of AA^{t is}

Difficulty: easy

Choose the correct option

A: 4 x 3

B: 3 x 4

C: 4 x 4

D: 3 x 3

7: If A is a matrix of order 3 x 2, then order of AA^t is

Difficulty: moderate

Choose the correct option

A: 3 x 3

B: 2 x 3

C: 2 x 2

D: 3 x 2

8: If order of a matrix A is 2 x 3 and of matrix B is 3 x 3 then of order of AB is

Difficulty: easy

Choose the correct option

A: 3 x 2

B: 2 x 2

C: 3 x 3

D: 2 x 3

9: The additive inverse of a matrix A is

Difficulty: easy

Choose the correct option

A: A

B: -A

C: A²

D: AdjA/|A|

10: [ 0 ] is a

Difficulty: easy

Choose the correct option

A: Square matrix

B: Unit matrix

C: Rectangular matrix

D: Scalar matrix

11: If A is a symmetric matrix , then A^t =

Difficulty: easy

Choose the correct option

A: -A

B: A

C: 0

D: None

12: If A is a skew symmetric matrix , then A^t =

Difficulty: easy

Choose the correct option

A: -A

B: A

C: 0

D: None

13: (A^-1)^t is equal to

Difficulty: easy

Choose the correct option

A: A

B: A^-1A^t

C: (A^t)^-1

D: -A^t

14: If A =
[

2 1

6 3

]
, then co-factor of 6 is

Difficulty: easy

Choose the correct option

A: 1

B: -1

C: -6

D: 3

15: If |A| is the determinant of a square matrix A , then |A| is

Difficulty: easy

Choose the correct option

A: Always positive

B: Modulus of A

C: Always negative

D: May be non negative or negative

16: If two rows of any square matrix are identical, then the value of determinant is

Difficulty: easy

Choose the correct option

A: 1

B: -1

C: 0

D: 2

17: For the matrix equation
[

3 1

-3 3y-4

]
=
[

3 1

-3 2

]
, then value of y is

Difficulty: moderate

Choose the correct option

A: 1

B: 2

C: 3

D: 4

18: If A is a square matrix of order 3 x 3 then |kA| equals

Difficulty: easy

Choose the correct option

A: K|A|

B: K²|A|

C: K³|A|

D: K⁴|A|

19: If A is a square matrix of order 2 then |KA| =

Difficulty: moderate

Choose the correct option

A: K|A|

B: 1/K |A|

C: 2K|A|

D: K²|A|

20: Inverse of a square matrix A does not exit if A is

Difficulty: easy

Choose the correct option

A: Singular

B: Non-singular

C: Unit

D: Diagonal

21: Inverse of a square matrix exit if A is

Difficulty: easy

Choose the correct option

A: Singular

B: Non-singular

C: Symmetric

D: Rectangular

22: The rank of the matrix [1 0 3] is

Difficulty: easy

Choose the correct option

1: If A is a matrix of order m x n , then the number of elements in each row of A is

A: M

B: N

C: M + N

D: M - N

2: If order of a matrix A is m x n , then order At is :

A: M x N

B: M x M

C: N x M

D: N x N

3: The matrix obtained by interchanging its rows and columns is called

A: Inverse

B: Transpose

C: Symmetric

D: None

4: If A is a matrix of order m x n and B is a matrix of order n x p , then the order of AB is :

A: p x m

B: p x n

C: n x p

D: m x p

5: If A = [ a d b e c f ] then order of matrix At is

A: 3 x 2

B: 2 x 3

C: 2 x 2

D: 3 x 3

6: If A is a matrix of order 3 x 4, then order of AAt is

A: 4 x 3

B: 3 x 4

C: 4 x 4

D: 3 x 3

7: If A is a matrix of order 3 x 2, then order of AAt is

A: 3 x 3

B: 2 x 3

C: 2 x 2

D: 3 x 2

8: If order of a matrix A is 2 x 3 and of matrix B is 3 x 3 then of order of AB is

A: 3 x 2

B: 2 x 2

C: 3 x 3

D: 2 x 3

9: The additive inverse of a matrix A is

A: A

B: -A

C: A2

D: AdjA/|A|

10: [ 0 ] is a

A: Square matrix

B: Unit matrix

C: Rectangular matrix

D: Scalar matrix

11: If A is a symmetric matrix , then At =

A: -A

B: A

C: 0

D: None

12: If A is a skew symmetric matrix , then At =

A: -A

B: A

C: 0

D: None

13: (A-1)t is equal to

A: A

B: A-1At

C: (At)-1

D: -At

14: If A = [ 2 1 6 3 ] , then co-factor of 6 is

A: 1

B: -1

C: -6

D: 3

15: If |A| is the determinant of a square matrix A , then |A| is

A: Always positive

B: Modulus of A

C: Always negative

D: May be non negative or negative

16: If two rows of any square matrix are identical, then the value of determinant is

A: 1

B: -1

C: 0

D: 2

5: If A =
[

a d

b e

c f

]
then order of matrix A^t is

6: If A is a matrix of order 3 x 4, then order of AA^{t is}

7: If A is a matrix of order 3 x 2, then order of AA^t is

C: A²

11: If A is a symmetric matrix , then A^t =

12: If A is a skew symmetric matrix , then A^t =

13: (A^-1)^t is equal to

B: A^-1A^t

C: (A^t)^-1

D: -A^t

14: If A =
[

2 1

6 3

]
, then co-factor of 6 is

17: For the matrix equation
[

3 1

-3 3y-4

]
=
[

3 1

-3 2

]
, then value of y is

B: K²|A|

C: K³|A|

D: K⁴|A|

D: K²|A|