Question # 1

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At

-A

A

A-1

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

The square matrix A is skew-symmetric when At =

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-B

-C

-A

-D

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

If A is singular then |A| = ______

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1

0

2

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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0

1

-A

-1

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0

1

2

4

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all are correct

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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

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all are correct

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

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

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

A non-homogeneous linear system AX = B has no solution if

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|A| = 0

|A|≠ 0

Rank (a) = no of variables

Rank > no of variables

The matrix A = [aij]mxn with m≠n is

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Rectangular

Symmetric

Square

None

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

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1 x 1

1 x 10

10 x 10

10 x 1

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K/6

2K

3K

6K

Two matrices A and B are conformable for the product AB if

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Both A and B are square

Both A and B are symmetric

Number of rows of A = number of columns of B

Number of columns of A = number of rows of B

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

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Skew-symmetric

Symmetric

Null

None of the above

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(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

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(ABC)' =

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CBA'

CBA

C' B' A'

None of these

Which of the following is skew symmetric matrix

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

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Symmetric

Hermition

Skew-symmetric

None

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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