Question # 1

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3 x 2

2 x 3

3 x 3

2 x 2

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(ABC)' =

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CBA'

CBA

C'B'A

C'B'A'

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A^-

A^t

-A

A

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2 x 2

2 x 3

3 x 2

3 x 3

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

The transpose of a zero matrix is a ______

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Column matrix

Zero matrix

Row matrix

Scalar matrix

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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A²- 5A + 7I = 1

2A²- 3A + 7I = 0

A²- 5A + I = 0

A²- 5A + 7I = 0

Which of the following is an identity matrix?

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none of these

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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

The square matrix A is skew-symmetric when At =

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-B

-C

-A

-D

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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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

For any positive integer n

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ABn = Bn A ⇔ AB = BA

ABn = Bn A⇔ A,B are square matrices and AB = BA

ABn = BnA⇔ A + B

ABn = BnA ⇔ A and B are square matries

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column 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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Null matrix

Triangular matrix

Unit matrix

Rectangular matrix

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity 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

The order of the matrix [1 2 3] is

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1 x 1

3 x 3

3 x 1

1 x 3

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Scalar matrix

Identity matrix

Null matrix

Symmetric matrix

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Mathematics ECAT Pre Engineering Chapter 5 Matrices and Determinants Online Test MCQs With Answers

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