Question # 1

The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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Identity matrix

Diagonal matrix

Null matrix

Hermitian matrix

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x =0, y =4

x = -1, y = 2

x = 2, y = 3

x = 3, y = 4

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Matrices are represented by

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Natural numbers

Real numbers

Small letters

Capital letters

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

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At Bt

AB

-AB

BA

For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

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3 x 1

1 x 3

3 x 3

1 x 1

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

(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

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0

1

-A

-1

Rank of matrix [1 3 5 0] is

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1

3

2

4

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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

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1

0

3

-1

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A²- 5A + 7I = 1

2A²- 3A + 7I = 0

A²- 5A + I = 0

A²- 5A + 7I = 0

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A

-A

A^t

A^-

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0

abc

1/abc

None of these

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The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is

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2 x 3

3 x 2

2 x 5

5 x 2

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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A matrix with a single column is called

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Column matrix

Row matrix

Identity matrix

Null matrix

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The order of the matrix [1 2 3] is

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1 x 1

3 x 3

3 x 1

1 x 3

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