Question # 1

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

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Null matrix

Triangular matrix

Unit matrix

Rectangular matrix

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3 x 2

2 x 3

3 x 3

2 x 2

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0

1

2

3

If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n x m

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16

256

64

1024

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I3

rI3

r

none

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Scalar matrix

Identity matrix

Null matrix

Symmetric matrix

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Hermitian matrix

Skew-hermitian matrix

Symmetric matrix

Identity matrix

The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

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1

0

-1

2

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

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9/4

4/9

1

None of these

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a²b²c²

4a²b²c²

4abc

None

Two matrices A and B are conformable for the product AB if

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Both A and B are square

Both A and B are symmetric

Number of rows of A = number of columns of B

Number of columns of A = number of rows of B

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

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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

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

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b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

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2 x 2

2 x 3

3 x 2

3 x 3

If A is a non singular matrix then A^-1= ______

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Rank of matrix [1 3 5 0] is

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1

3

2

4

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

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

Which of the following is an identity matrix?

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none of these

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5

15

10

20

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ECAT Mathematics Chapter 5 Matrices and Detarminants Online Test MCQs With Answers

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