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Quiz on Matrices

Total questions: 11

Worksheet time: 4mins

Name
Class
Date
1.

 What is a matrix oforder 1×n called?What\ is\ a\ matrix\ oforder\ 1\times n\ called?  

a)

column matrix

b)

row matrix

c)

unit matrix

d)

null matrix

2.

 what is rank of a 5×5 matrix whose elts are all unitywhat\ is\ rank\ of\ a\ 5\times5\ matrix\ whose\ elts\ are\ all\ unity  

a)

0

b)

1

c)

2

d)

5

3.

When is a matrix A said to have a non-zero solution

a)

If rank of A is 1

b)

If |A| not equal to 0

c)

If |A|=0

d)

If rank of A is 0

4.

If A and B are two matrices of orders 3X3, then A+B is of order

a)

1X3

b)

3X1

c)

1X1

d)

3X3

5.

 order of this matrix [1  2  3  4  −9] isorder\ of\ this\ matrix\ \left[1\ \ 2\ \ 3\ \ 4\ \ -9\right]\ is  

a)

5X1

b)

3x2

c)

1x5

d)

1X9

6.

what is trace of this matrix

a)

3

b)

5

c)

6

d)

9

7.

A homogeneous system of linear equations has atleast a zero solution

a)

True

b)

False

8.

A homogeneous system of linear equations will have no non zero solution

a)

True

b)

False

9.

A non homogeneous system of linear equations may have

a)

zero solution only

b)

non zero solution only

c)

zero solution and/or non zero solution

d)

none

10.

What kind of a solution exists for a system of linear equations if n=r, where n is number of unknowns and r is the rank

a)

unique solution

b)

zero solution

c)

infinitely many solutions

d)

no solution

11.

What if r<n in the previous question?

a)

unique solution

b)

zero solution

c)

infinitely many solutions

d)

no solution