Question # 1

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

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a.b and c

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

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-3

-7

1

0

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

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At Bt

AB

-AB

BA

The transpose of a zero matrix is a ______

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Column matrix

Zero matrix

Row matrix

Scalar matrix

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0

1

-2

10

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A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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2 x 2

2 x 3

3 x 2

3 x 3

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0

1

2

4

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

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

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Non-singular

Symmetric

Singular

Non defined

The transpose of a row matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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

If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

Which of the following is skew symmetric matrix

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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

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1

0

3

-1

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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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