Question # 1

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5

-5

none

Which of the following is skew symmetric matrix

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

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The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

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0

1

-A

-1

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

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K/6

2K

3K

6K

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

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

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Symmetric

Hermition

Skew-symmetric

None

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5

15

10

20

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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

Rank of matrix [1 3 5 0] is

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1

3

2

4

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The matrix A = [aij]1xn is a

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Vector

Rectangular matrix

Column vector

Square matrix

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

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

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BA

A2

AB

B2

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

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Skew-symmetric

Symmetric

Null

None of the above

System of linear equation is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

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0

Independent of a

Independent of b

Independent of c

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If A is singular then |A| = ______

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1

0

2

None of these

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A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

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