Question # 1

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An upper triangular matrix

A lower triangular matrix

A diagonal matrix

A null matrix

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2s²

2s³

s³

3s³

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-a -b -c

1

0

-1

The transport of a square matrix is a

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Row matrix

Column matrix

Square matrix

Null matrix

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k3

0

3k

k6

If for the matrix A,A5 = 1,then A-1=

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A2

A3

A

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

Which of the following is an identity matrix?

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none of these

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

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

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

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16

None of these

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We solve the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a,b and c

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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Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

If the matrices A and B are conformable for multiplication then (AB)^t= ______

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AB

A^tB^t

B^tA^t

A^tB

A diagonal matrix in which the diagonal elements are equal is called a

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Null matrix

Identity matrix

Scalar matrix

Row matrix

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Symmetric

Skew-symmetric

Hermitian

Skew hermitian

Every identity matrix is

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Row-vector

Scalar

Column-vector

All

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

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

System of linear equation is inconsistent if

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System has no solution

System has one solution

System has two solution

None of above

If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

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Identity matrix

Diagonal matrix

Null matrix

Hermitian matrix

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

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