Question # 1

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

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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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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Square matrix

Row matrix

Symmetric matrix

Null matrix

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

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a²b²c²

4a²b²c²

4abc

None

The square matrix A is skew Hermitian when (A)'=

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A

A'

-A

A

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3K

K2

K3

K

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0

1

2

4

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all

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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

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

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

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

A square matrix A = [aij] is lower triangular matrix when:

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aij = 0 for all i < j

bij = 0

cij = 0

dij =0

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

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2 AB

2 BA

A + B

AB

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

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2s²

2s³

s³

3s³

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

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

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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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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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At

-A

A

A-1

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