Free Printable Matrices

1.

The value of a _____ does not change when rows and columns are interchanged.

a)

matrix

b)

determinant

c)

linear space

d)

none of the above

2.

Inverse of a square matrix is ____ if it exists

a)

different

b)

exists

c)

unique

d)

none of the above

3.

If A be any square matrix,then AA' and A'A will be both

a)

Skew symmetric

b)

symmetric

c)

either skew symmetric or symmetric

d)

neither skew symmetric nor symmetric

4.

Transpose of an orthogonal matrix is ______

a)

symmetric

b)

skew symmetric

c)

hermitian

d)

orthogonal

5.

A square matrix A= $\left[a_{ij}\right]_{n\times n}$ is _______ iff $\overline{a_{ij}}\ =a_{ji}$

a)

skew hermitian

b)

symmetric

c)

skew symmetric

d)

hermitian

6.

The rank of zero matrix is _______

a)

one

b)

two

c)

zero

d)

three

7.

The rank of every non-singular matrix of order n is _____

a)

1

b)

0

c)

2

d)

n

8.

If A and B are two n-rowed square matrices, then $\rho\left(AB\right)---\rho\left(A\right)+\rho\left(B\right)-n$

a)

$\ge$

b)

$\le$

c)

$\ne$

d)

>

9.

Let AX=B be a system of m linear equations in n variables.If |A|=0 and adj(A).B=0,then the system is __________

a)

consistent and has unique solution

b)

consistent and has infinite number of solutions

c)

inconsistent and has no solution

d)

none of the above

10.

If in a set of vectors any vector of the set is the linear combination of the remaining vectors, then the vectors are

a)

linearly independent

b)

linearly dependent

c)

data inadequate

d)

none of the above

Matrices

Total questions: 10

Worksheet time: 5mins

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