Question # 1

A and B be two square matrices and if their inverse exist the (AB)-1 =

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A-1 B-1

AB-1

A-1B

B-1A-1

The matrix A is Hermitian when (A)' =

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A

-A

A

A'

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A^-

A^t

-A

A

System of linear equations is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

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(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

The matrix A = [aij]mxn with m≠n is

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Rectangular

Symmetric

Square

None

Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =

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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

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

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

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aij = 0 for all i<j

bij = 0

cij = 0

dij = 0

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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

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

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At Bt

AB

-AB

BA

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16

256

64

1024

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

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Symmetric

Hermition

Skew-symmetric

None

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0

1

-A

-1

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

Rank of matrix [1 3 5 0] is

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1

3

2

4

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