Skip to Content

Build your own quiz

20 questions

Show Answers

See Preview

- Multiple ChoicePlease save your changes before editing any questions.
- Multiple ChoicePlease save your changes before editing any questions.
A matrix A is both symmetric and skew symmetric if A is

Null matrix

unit matrix

row matrix

none of these

- Multiple ChoicePlease save your changes before editing any questions.
(A')'=

-A'

-A

A

A'

- Multiple ChoicePlease save your changes before editing any questions.
(kA)'= (where k is any scalar)

-kA

kA'

$\frac{1}{k}A'$

-kA'

- Multiple ChoicePlease save your changes before editing any questions.
(-A)'=

A'

-A'

$\left(A'\right)^{-1}$

-a

- Multiple ChoicePlease save your changes before editing any questions.
(A+B)'=

A'-B'

A+B

B'-A'

A'+B'

- Multiple ChoicePlease save your changes before editing any questions.
(AB)'=

A'B'

B'A'

$\frac{1}{A'B'}$

BA

- Multiple ChoicePlease save your changes before editing any questions.
A square matrix is known as symmetric matrix if

A+A'=0

A=A'

$A-A'\ne0$

None of these

- Multiple ChoicePlease save your changes before editing any questions.
Square matrix B is known as skew symmetric if

B=B'

B'+B=0

B-B'=0

none of these

- Multiple ChoicePlease save your changes before editing any questions.
Every square matrix can be uniquely expressed as sum of a symmetric and skew symmetric matrix.

True

False

- Multiple ChoicePlease save your changes before editing any questions.
For a square matrix A , A+A' is always a

Symmetric matrix

Skew Symmetric matrix

May be symmetric or may be skew symmetric

Can't say .

- Multiple ChoicePlease save your changes before editing any questions.
For a square Matrix A, A-A' is always a

Symmetric Matrix

Skew Symmetric Matrix

Null matrix

None of the above

- Multiple ChoicePlease save your changes before editing any questions.
Diagonal elements of a skew symmetric matrix are all zero

True

False

- Multiple ChoicePlease save your changes before editing any questions.
If all diagonal elements of a square matrix A are zero then

A is a symmetric matrix

A is a skew symmetric matrix

A may or may not be skew symmetric matrix

Never a skew symmetric matrix

- Multiple ChoicePlease save your changes before editing any questions.
If A and B are square matrix of same order and B is a skew symmetric matrix then the matrix ABA' is

Not a square matrix

Symmetric matrix

Skew symmetric matrix

May be symmetric may be skew symmetric

- Multiple ChoicePlease save your changes before editing any questions.
If A is a square matrix then AA'

Is not defined.

Is a skew symmetric matrix

Is a symmetric matrix

= -AA'

- Multiple ChoicePlease save your changes before editing any questions.
If A and B are symmetric matrices of same order then

AB-BA is

Not defined

a skew symmetric matrix

a symmetric matrix

always a null matrix

- Multiple ChoicePlease save your changes before editing any questions.
If A is a symmetric matrix then order of the A may be

1x3

4x1

3x3

Only Batra Sir knows

- Multiple ChoicePlease save your changes before editing any questions.
If A and B are square matrices of same order then AB'-BA'

is a null matrix

is not defined

is a symmetric matrix

is skew symmetric matrix

- Multiple ChoicePlease save your changes before editing any questions.
If a square matrix A is symmetric matrix then kA is (where k is some scalar)

a symmetric matrix.

a skew symmetric matrix.

Symmetric matrix if k is positive

symmetric if k is negative