Question # 1

Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

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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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K/6

2K

3K

6K

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all

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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0

abc

1/abc

None of these

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-a -b -c

1

0

-1

The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

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

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

The transpose of a zero matrix is a ______

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Column matrix

Zero matrix

Row matrix

Scalar matrix

If A and B are skew-symmetric then (AB)t is

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At Bt

AB

-AB

BA

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

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BA

A²

AB

B²

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An upper triangular matrix

A lower triangular matrix

A diagonal matrix

A null matrix

For trival solution |A| is

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A

|A| = 0

A = 0

|A|≠ 0

If A is singular then |A| = ______

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1

0

2

None of these

Which of the following is skew symmetric matrix

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

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0

1

-2

10

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