Question # 1

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

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

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2 x 2

2 x 3

3 x 2

3 x 3

If the trace of matrix A is 5, then the trace of the matrix 3A is

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3/5

5/3

8

15

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(2x4)

(2x7)

(2x3)

(7x2)

Let A is a 3 x 3 matrix and B is its adjoint matrix. If |B| = 64, then |A| =

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The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

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0

1

-A

-1

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I

14 I

0

None of these

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Square matrix

Row matrix

Symmetric matrix

Null matrix

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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

Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

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

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A

-A

A^t

A^-

If A = [aij]mxpand B =[aij]pxnthen order of BA is

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m x n

p x n

n x m

None of these

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Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

The order of the matrix [1 2 3] is

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1 x 1

3 x 3

3 x 1

1 x 3

Rank of matrix [1 3 5 0] is

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1

3

2

4

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1

0

-1

2

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

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

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Scalar matrix

Identity matrix

Null matrix

Symmetric matrix

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Singular

Non-singular

Adjoint

None of above

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3 x 2

2 x 3

3 x 3

2 x 2

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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-1 B-1

AB-1

A-1B

B-1A-1

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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