Question # 1

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

For a square matrix A, if A = At, then A is called

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Matrix

Transpose

Symmetric

Non-symmetric

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

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A

A'

-A

A

A square matrix A = [aij] is upper triangular when

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cij = 0

bij = 0

aij = 0 for all i > j

dij = 0

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2

4

6

8

(ABC)' =

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CBA'

CBA

C' B' A'

None of these

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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all are correct

The matrix A is Hermitian when (A)' =

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A

-A

A

A'

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1

-1

0

I

Matrices are represented by

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Natural numbers

Real numbers

Small letters

Capital letters

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0

Independent of a

Independent of b

Independent of c

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Every identity matrix is

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Row-vector

Scalar

Column-vector

All

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(2x4)

(2x7)

(2x3)

(7x2)

If A and B are skew-symmetric then (AB)t is

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At Bt

AB

-AB

BA

An equation of the form ax + by = k is homogeneous linear equation when

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

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0

1

2

4

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2 x 2

2 x 3

3 x 2

3 x 3

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

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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The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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

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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I3

rI3

r

none

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