Question # 1

The additive inverse of a matrix A is

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None of these

Matrices are represented by

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Natural numbers

Real numbers

Small letters

Capital letters

If A = [a_ij] 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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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

System of linear equations is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

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

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A2

A5

A3

A7

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

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The matrix A is Hermitian when (A)' =

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A

-A

A

A'

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0

Independent of a

Independent of b

Independent of c

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 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 matrix with a single row is called a

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Column matrix

Row matrix

Null matrix

Identity matrix

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3, -3, 11

3, 3, 11

-3, 3, -11

-3, -3, 11

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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

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K/6

2K

3K

6K

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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-3

-7

1

0

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1

-1

0

I

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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

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all

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

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

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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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3K

K2

K3

K

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

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