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Determinant of a matrix

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

Determinant of identity matrix of order 4 is:

a)

4

b)

1

c)

0

d)

More information required to answer

2.

If A is a matrix with all entries negative, then det(A)

a)

Can be negative

b)

Can be positive

c)

Always negative

d)

Can be zero

3.

Determinant of identity matrix of order n is

(a)  

4.

Det(A+B) = Det(A) + Det(B)

a)

Question statement is true.

b)

Question statement is false

5.

Det(AB) = Det(A).Det(B)

a)

Statement is true only for some A and B.

b)

Statement is always true.

c)

Statement is never true.

6.

If A is a matrix of order 4 and Det(A) = 2, then det(2A) =?

(a)  

7.

If two rows of a matrix A are identical, then det(A)

a)

Zero

b)

A positive number

c)

One

d)

Can not say

8.

Which of the following are true?

a)

Similar matrices have same determinant.

b)

A matrix and it's inverse have same determinant.

c)

A matrix and it's transpose have same determinant.

d)

Two different matrices can have same determinant.

9.

If matrix A has its rank less than its order, then det(A) is

(a)  

10.

Do you find determinant interesting? If yes, then why?

4 lines