Question # 1

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I

|A|

|A| I

None of these

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Zero matrix

Diagonal matrix

Column matrix

Scalar matrix

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k3

0

3k

k6

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

Matrices are represented by

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Natural numbers

Real numbers

Small letters

Capital letters

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0

1

-2

10

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

If A = |aij| 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

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Hermitian matrix

Skew-hermitian matrix

Symmetric matrix

Identity matrix

Cofactor of an element aij denoted by Aij is

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(-2)i+j

Mij

(-1)i+j Mij

None of above

A matrix in which the number of rows is not equal to the number of columns is called a

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Diagonal matrix

Rectangular matrix

Square matrix

Scalar matrix

Let A be a square matrix. Then, 1/2 (A-A') is

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Skew-symmetric

Symmetric

Null

None of the above

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all

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 A is singular then |A| = ______

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1

0

2

None of these

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5

-5

none

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

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At

-A

A

A-1

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

The square matrix A is skew-symmetric when At =

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-B

-C

-A

-D

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

Rank of matrix [1 3 5 0] is

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1

3

2

4

If there are m rows and n columns in a matrix then its order is

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m x n

m x m

n x n

n x m

The square matrix A is skew-symmetric when At=

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-B

-C

-A

-D

The transport of a null matrix is

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Row matrix

Column matrix

Square matrix

Null matrix

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2 x 2

2 x 3

3 x 2

3 x 3

The transpose of a column matrix is a ______

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Zero matrix

Diagonal matrix

Column matrix

Row matrix

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

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