Question # 1

If A = |aij| is (m x n) matrix then transpose of A is of the order

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m x m

m x n

n x n

n x m

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null 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

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16

256

64

1024

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a²b²c²

4a²b²c²

4abc

None

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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4A - 3I

3A - 4I

A - I

None of these

For a square matrix A, if A = A^t, then A is called

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matrix

Transpose

Symmetric

Non-symmetric

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0

1

-A

-1

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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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2 x 2

2 x 3

3 x 2

3 x 3

Let A be a square matrix. Then, 1/2 (A-A') is

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Skew-symmetric

Symmetric

Null

None of the above

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 = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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9/4

4/9

1

None of these

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1

-1

0

I

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Hermitian matrix

Skew-hermitian matrix

Symmetric matrix

Identity matrix

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

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1

0

-1

2

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(ABC)' =

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CBA'

CBA

C' B' A'

None of these

The transpose of a zero matrix is a ______

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Column matrix

Zero matrix

Row matrix

Scalar matrix

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0

abc

1/abc

None of these

If A = [a_ij] is (m x n) matrix, then transpose of A is of the order

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m x m

m x n

n x n

n x m

If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix

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A2

A5

A3

A7

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all are correct

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