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

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0

Independent of a

Independent of b

Independent of c

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(2x4)

(2x7)

(2x3)

(7x2)

Matrices A = [aij] 2 x 3 and B = [bij] 3 x 2 are suitable for

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BA

A2

AB

B2

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0

1

2

4

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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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5

15

10

20

If for the matrix A, A⁵= I, then A^-1=

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A²

A³

A

None of above

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

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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Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

In order of A is m x n and order of B is n x p then order of AB is

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m x m

n x n

m x p

p x m

If the matrices A and B are conformable for multiplication then (AB)^t= ______

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AB

A^tB^t

B^tA^t

A^tB

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A matrix with a single column is called

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Column matrix

Row matrix

Identity matrix

Null matrix

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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5

-5

none

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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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

Matrices are represented by

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Natural numbers

Real numbers

Small letters

Capital letters

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A^-

A^t

-A

A

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9/4

4/9

1

None of these

(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

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