Question # 1

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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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-3

-7

1

0

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0

abc

1/abc

None of these

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

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

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

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1

0

-1

2

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(2x4)

(2x7)

(2x3)

(7x2)

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At

-A

A

A-1

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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9/4

4/9

1

None of these

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

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 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

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

Which of the following is an identity matrix?

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none of these

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2s²

2s³

s³

3s³

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

A matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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A^-

A^t

-A

A

For a square matrix A, if A = At, then A is called

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Matrix

Transpose

Symmetric

Non-symmetric

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3K

K2

K3

K

Minor of an element a_ijis denoted by

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M_ij

A_ij

|A|

None of these

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

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

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

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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I

|A|

|A| I

None of these

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