Question # 1

The square matrix A is skew-symmetric when At =

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-B

-C

-A

-D

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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

For a square matrix A, if A = A^t, then A is called

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matrix

Transpose

Symmetric

Non-symmetric

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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

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

Rank of matrix [1 3 5 0] is

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1

3

2

4

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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3 x 1

1 x 3

3 x 3

1 x 1

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-a -b -c

1

0

-1

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

The additive inverse of a matrix A is

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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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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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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1

-1

0

I

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

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

If A is a non-singular matrix then adj A is

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Non-singular

Symmetric

Singular

Non defined

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The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

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9/4

4/9

1

None of these

Which of the following is skew symmetric matrix

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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

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