Question # 1

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In order of A is m x n and order of B is n x p then order of AB is

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m x m

n x n

m x p

p x m

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

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

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Singular

Non-singular

Adjoint

None of above

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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

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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A

-A

A^t

A^-

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I

|A|

|A| I

None of these

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

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-3

-7

1

0

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

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3 x 2

2 x 3

3 x 3

2 x 2

We also the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a, b and c

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16

256

64

1024

We solve the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a,b and c

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1

-1

0

I

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

A matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

A diagonal matrix in which the diagonal elements are equal is called a

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Null matrix

Identity matrix

Scalar matrix

Row matrix

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Identity matrix

Diagonal matrix

Null matrix

Hermitian matrix

A matrix with a single column is called

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Column matrix

Row matrix

Identity matrix

Null matrix

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0

1

-2

10

If A is singular then |A| = ______

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1

0

2

None of these

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The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

The matrix A = [aij]1xn is a

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Vector

Rectangular matrix

Column vector

Square matrix

The square matrix A is skew Hermitian when (A)'=

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A

A'

-A

A

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