Question # 1

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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3 x 2

2 x 3

3 x 3

2 x 2

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

(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

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Scalar matrix

Identity matrix

Null matrix

Symmetric matrix

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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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3K

K2

K3

K

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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

If A = [aij]mxpand B =[aij]pxnthen order of BA is

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m x n

p x n

n x m

None of these

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1

0

-1

2

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9/4

4/9

1

None of these

The additive inverse of a matrix A is

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None of these

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

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-a -b -c

1

0

-1

If A is a non singular matrix then A^-1= ______

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(2x4)

(2x7)

(2x3)

(7x2)

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0

abc

1/abc

None of these

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

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

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Skew-symmetric

Symmetric

Null

None of the above

The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is

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2 x 3

3 x 2

2 x 5

5 x 2

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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Null matrix

Triangular matrix

Unit matrix

Rectangular matrix

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K/6

2K

3K

6K

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a = -1/2, b = -1

a = 1, b = 2

a = 2, b = 3

None of above

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

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

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The matrix A = [aij]mxn with m≠n is

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Rectangular

Symmetric

Square

None

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