Question # 1

The matrix A = [aij]mxn with m≠n is

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Rectangular

Symmetric

Square

None

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1

-1

0

I

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Singular

Non-singular

Adjoint

None of above

If for the matrix A,A5 = 1,then A-1=

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A2

A3

A

None of above

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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

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A^-

A^t

-A

A

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A

-A

A^t

A^-

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

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A^-1B^-1

AB^-1

A^-1B

B^-1A^-1

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

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(2x4)

(2x7)

(2x3)

(7x2)

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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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

(ABC)' =

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CBA'

CBA

C' B' A'

None of these

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-a -b -c

1

0

-1

Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

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I3

rI3

r

none

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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

Cofactor of an element a_ijis defined by

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(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

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1

0

-1

2

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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