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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all

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all are correct

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Scalar matrix

Identity matrix

Null matrix

Symmetric matrix

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

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A2

A3

A

None of above

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The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

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

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If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

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all are correct

We solve the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a,b and c

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

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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-a -b -c

1

0

-1

For any positive integer n

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ABn = Bn A ⇔ AB = BA

ABn = Bn A⇔ A,B are square matrices and AB = BA

ABn = BnA⇔ A + B

ABn = BnA ⇔ A and B are square matries

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x =0, y =4

x = -1, y = 2

x = 2, y = 3

x = 3, y = 4

Rank of matrix [1 3 5 0] is

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1

3

2

4

The matrix A = [aij]mxn with m≠n is

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Rectangular

Symmetric

Square

None

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0

abc

1/abc

None of these

(ABC)' =

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CBA'

CBA

C' B' A'

None of these

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

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2 x 2

2 x 3

3 x 2

3 x 3

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

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(2x4)

(2x7)

(2x3)

(7x2)

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-3

-7

1

0

If there are m rows and n columns in a matrix then its order is

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m x n

m x m

n x n

n x m

If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix

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A2

A5

A3

A7

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