Free Printable Matrix and Determinants

1.

Calculate the determinant

a)

0

b)

-15

c)

-70

d)

10

2.

A is a skew symmetric matrix of order 3 and B is square matrix of order 3. If |B| = 4 then

a)

|AB| = 4

b)

|AB| = 1

c)

|AB| = 0

d)

AB not defined

3.

A is a square matrix of order 3 .If |A|= 3 then |A.adjA|=

a)

9

b)

18

c)

27

d)

81

4.

A is a square matrix of order 3.If |A| = 5 then |adj(adjA|=

a)

25

b)

125

c)

625

d)

3125

5.

If A , B are invertible matrices of same order then

a)

|A| = 0

b)

|B| = 0

c)

IAB|=0

d)

none of these

6.

Which of the following is true

a)

If any two rows / columns are interchanged then value of the determinant remains unchanged.

b)

If any two rows/ columns are interchanged then value of the determinant becomes two times.

c)

If any two rows / columns are interchanged then value of the determinant changes by minus sign.

d)

If any two rows/ columns are interchanged then value of the determinant becomes zero.

7.

Find the value of k in order that the points (5, 5), (k, 1) and (10, 7) are collinear.

a)

k = 5

b)

k = - 5

c)

k = 0

d)

none of these

8.

For what value of x, matrix B is a singular matrix?

a)

0

b)

1

c)

2

d)

-1

9.

A square matrix is said to be non-singular if:

a)

$\left|A\right|=0$

b)

$\left|A\right|\ne0$

c)

$\left|A\right|=-1$

d)

$\left|A\right|=1$

10.

If A is square matrix of order 3 such that |AdjA| =64 , find |A|

a)

64

b)

8

c)

4

d)

192

11.

If A is an invertible matrix of order 3 and |A|=5 then find |Adj A|

a)

5

b)

15

c)

25

d)

125

12.

1. Let A be a square matrix of order 3x3 then| kA| = .

a)

k |A|

b)

k²|A|

c)

k³|A|

d)

3k|A|

13.

If A and B are invertible matrix then (AB)^-1 =

a)

A^-1B^-1

b)

AB

c)

B^-1A^-1

d)

none of these

14.

1. A matrix A is both symmetric and skew symmetric if A is

a)

Null matrix

b)

unit matrix

c)

row matrix

d)

none of these

15.

Find B-A

a)

b)

c)

d)

16.

Add

a)

b)

c)

d)

17.

which of the following is correct

a)

determinants is a square matrix

b)

determinants is a number associated to a matrix

c)

determinants is a number associated to a square matrix

d)

none of these

18.

If |A| = 0, then A is

a)

zero matrix

b)

singular matrix

c)

non-singular matrix

d)

Identity matrix

19.

Two matrices A and B are multiplied to get AB if

a)

both are rectangular both have same order

b)

no of columns of A is equal to columns of B

c)

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

d)

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

20.

When you multiply a matrix by the inverse matrix, you obtain the

a)

inverse matrix.

b)

transpose matrix.

c)

Identity matrix

d)

Identity matrix

Matrix and Determinants

Total questions: 20

Worksheet time: 11mins

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