Question # 1

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I

|A|

|A| I

None of these

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Scalar matrix

Identity matrix

Null matrix

Symmetric matrix

For trival solution |A| is

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A

|A| = 0

A = 0

|A|≠ 0

The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is

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2 x 3

3 x 2

2 x 5

5 x 2

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

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

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

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At Bt

AB

-AB

BA

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

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

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BA

A2

AB

B2

Two matrices A and B are conformable for the product AB if

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Both A and B are square

Both A and B are symmetric

Number of rows of A = number of columns of B

Number of columns of A = number of rows of B

The matrix A is Hermitian when (A)' =

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A

-A

A

A'

A diagonal matrix in which the diagonal elements are equal is called a

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Null matrix

Identity matrix

Scalar matrix

Row matrix

The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

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

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

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A^-

A^t

-A

A

A square matrix all of whose elements except the main diagonal are zeros is called a

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Null matrix

Singular matrix

Symmetric matrix

Diagonal matrix

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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

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If A = [a_ij] 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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a = -1/2, b = -1

a = 1, b = 2

a = 2, b = 3

None of above

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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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

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The transpose of a zero matrix is a ______

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Column matrix

Zero matrix

Row matrix

Scalar matrix

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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

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

A non-homogeneous linear system AX = B has no solution if

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|A| = 0

|A|≠ 0

Rank (a) = no of variables

Rank > no of variables

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

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