Question # 1

If the matrices A and B are conformable for multiplication then (AB)^t= ______

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AB

A^tB^t

B^tA^t

A^tB

The matrix A is Hermitian when (A)' =

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A

-A

A

A'

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

For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

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

If there are m rows and n columns in a matrix then its order is

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m x n

m x m

n x n

n x m

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16

None of these

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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A^-

A^t

-A

A

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Which of the following is skew symmetric matrix

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Matrices A = [aij] 2 x 3 and B =[bij] 3 x 2 are suitable for

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BA

A²

AB

B²

Rank of matrix [1 3 5 0] is

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1

3

2

4

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1

0

3

-1

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all are correct

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

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

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3 x 3

3 x 2

2 x 5

5 x 2

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If A is a non-singular matrix then adj A is

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Non-singular

Symmetric

Singular

Non defined

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