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

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0

1

2

3

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

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BA

A²

AB

B²

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

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2 x 2

2 x 3

3 x 2

3 x 3

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Scalar matrix

Identity matrix

Null matrix

Symmetric matrix

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-3

-7

1

0

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Orthogonal

Involutary

Idempotent

Nilpotent

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

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

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BA

A2

AB

B2

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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A^-

A^t

-A

A

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

The matrix A = [aij]1xn is a

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Vector

Rectangular matrix

Column vector

Square matrix

For trival solution |A| is

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A

|A| = 0

A = 0

|A|≠ 0

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The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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 and B are two matrices such that AB = B and BA = A then A2 + B2 =

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2 AB

2 BA

A + B

AB

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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5

-5

none

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

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At Bt

AB

-AB

BA

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0

abc

1/abc

None of these

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3 x 2

2 x 3

3 x 3

2 x 2

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A

-A

A^t

A^-

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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

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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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2

4

6

8

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