Question # 1

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a²b²c²

4a²b²c²

4abc

None

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

Rank of matrix [1 3 5 0] is

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1

3

2

4

A matrix in which the number of rows is equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

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I

|A|

|A| I

None of these

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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all are correct

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

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BA

A²

AB

B²

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

Which of the following is an identity matrix?

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none of these

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

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A

A'

-A

A

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

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

A square matrix A = [aij] is upper triangular when

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cij = 0

bij = 0

aij = 0 for all i > j

dij = 0

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

Which of the following is skew symmetric matrix

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A matrix with a single column is called

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Column matrix

Row matrix

Identity matrix

Null matrix

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

(ABC)' =

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CBA'

CBA

C' B' A'

None of these

The order of the matrix A is 3 x 2 and that of B is 2 x 3. The order of the matrix BA is

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3 x 3

3 x 2

2 x 5

5 x 2

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1

0

-1

2

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At

-A

A

A-1

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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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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

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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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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

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0

abc

1/abc

None of these

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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