Question # 1

(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

The matrix A = [aij]1xn is a

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Vector

Rectangular matrix

Column vector

Square matrix

System of linear equation is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

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I

|A|

|A| I

None of these

If A = [aij]mxpand B =[aij]pxnthen order of BA is

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m x n

p x n

n x m

None of these

If A is a non singular matrix then A^-1= ______

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k3

0

3k

k6

A matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

The transpose of a zero matrix is a ______

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Column matrix

Zero matrix

Row matrix

Scalar matrix

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Singular

Non-singular

Adjoint

None of above

If for the matrix A, A⁵= I, then A^-1=

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A²

A³

A

None of above

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5

15

10

20

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16

None of these

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If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n x m

A square matrix A for which A^t= A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

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BA

A2

AB

B2

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0

Independent of a

Independent of b

Independent of c

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I3

rI3

r

none

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

A square matrix A for which A^t= -A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

The matrix A is Hermitian when (A)' =

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A

-A

A

A'

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a.b and c

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0

1

-2

10

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Null matrix

Triangular matrix

Unit matrix

Rectangular matrix

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Square matrix

Row matrix

Symmetric matrix

Null matrix

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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers

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