Question # 1

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

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-a -b -c

1

0

-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

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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0

1

-A

-1

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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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I

14 I

0

None of these

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Orthogonal

Involutary

Idempotent

Nilpotent

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row 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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2

4

6

8

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A^-

A^t

-A

A

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16

None of these

In order of A is m x n and order of B is n x p then order of AB is

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m x m

n x n

m x p

p x m

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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1

0

-1

2

A matrix in which the number of rows is not equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

Rank of matrix [1 3 5 0] is

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1

3

2

4

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-3

-7

1

0

The square matrix A is skew Hermitian when (A)'=

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A

A'

-A

A

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

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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all are correct

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

A square matrix A for which A^t= A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

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