Question # 1

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

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If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

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K/6

2K

3K

6K

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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

If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n x m

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-3

-7

1

0

For trival solution |A| is

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A

|A| = 0

A = 0

|A|≠ 0

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An upper triangular matrix

A lower triangular matrix

A diagonal matrix

A null matrix

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 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

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

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

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Non-singular

Symmetric

Singular

Non defined

A = [3] is a/an

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Square matrix

Scalar matrix

Diagonal matrix

Identity matrix

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

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16

256

64

1024

The matrix A = [aij]mxn with m≠n is

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Rectangular

Symmetric

Square

None

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

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

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0

1

-A

-1

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2 x 2

2 x 3

3 x 2

3 x 3

The matrix A is Hermitian when (A)' =

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A

-A

A

A'

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

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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

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

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3 x 1

1 x 3

3 x 3

1 x 1

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

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The additive inverse of a matrix A is

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None of these

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