Question # 1

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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16

256

64

1024

A non-homogeneous linear system AX = B has no solution if

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|A| = 0

|A|≠ 0

Rank (a) = no of variables

Rank > no of variables

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

If the trace of matrix A is 5, then the trace of the matrix 3A is

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3/5

5/3

8

15

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

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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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0

1

2

4

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

The matrix A is Hermitian when (A)' =

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A

-A

A

A'

A matrix with a single column is called

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Column matrix

Row matrix

Identity matrix

Null matrix

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2s²

2s³

s³

3s³

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I3

rI3

r

none

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

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A

A'

-A

A

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1

-1

0

I

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Triangular matrix

Identity matrix

Diagonal matrix

Scalar matrix

Rank of matrix [1 3 5 0] is

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1

3

2

4

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0

1

-2

10

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