Question # 1

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

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3K

K2

K3

K

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A(α) - A(β)

A(α) + A(β)

A(α-β)

A(α+β)

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

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(2x4)

(2x7)

(2x3)

(7x2)

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 upper triangular when

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cij = 0

bij = 0

aij = 0 for all i > j

dij = 0

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Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

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

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

(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

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6, -12, -18

-6, 4, 9

-6, -4, -9

-6, 12, 18

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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

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BA

A²

AB

B²

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

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A

-A

A^t

A^-

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Square matrix

Row matrix

Symmetric matrix

Null 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

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0

1

2

3

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Singular

Non-singular

Adjoint

None of above

If A is skew Hermitian Matrix then which of the following is not skew Hermitian matrix

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A2

A5

A3

A7

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

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At Bt

AB

-AB

BA

The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

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

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The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

A and B be two square matrices and if their inverse exist the (AB)-1 =

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A-1 B-1

AB-1

A-1B

B-1A-1

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