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DETERMINANTS

Total questions: 11

Worksheet time: 22mins

Name
Class
Date
1.

NAME

4 lines
2.

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

a)

A=0\left|A\right|=0

b)

A0\left|A\right|\ne0

c)

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

d)

A=1\left|A\right|=1

3.

 The adjoint of matrix A =

a)
b)
c)
d)
4.

a)

There is unique solution

b)

Solution does not exist

c)

There infinitely many solutions

d)

None of the above

5.

Find area of triangle whose vertices are (2,7), (1,1) and (0,8).

a)

53.6 sq units

b)

45 sq units

c)

23.5 sq units

d)

32.25 sq units

6.

If A is skew-symmetric matrix of order 3, then determinant A =

a)

0

b)

1

c)

-1

d)

3

7.

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

a)

0

b)

1

c)

2

d)

-1

8.

Read the statements given below and choose the correct option.

a)

Assertion and reason both are true and reason is not the correct explanation of assertion.

b)

Assertion and reason both are true and reason is the correct explanation of assertion.

c)

Assertion and reason both are false.

d)

Assertion is true and reason is false.

9.

Read the question and choose the right option.

a)

6

b)

0

c)

±6\pm6

d)

-6

10.
a)

4

b)

5

c)

-4

d)

9

11.

a)

-2

b)

2

c)

8/3

d)

0