Question # 1

A and B be two square matrices and if their inverse exist, the (AB)^-1=

Choose an answer

A^-1B^-1

AB^-1

A^-1B

B^-1A^-1

If the matrices A and B have the order 1 x 10 and 10 x 1 then order of AB is

Choose an answer

1 x 1

1 x 10

10 x 10

10 x 1

For non-trival solution |A| is

Choose an answer

non zero

A = 0

|A| = 0

At = 0

Choose an answer

1

-1

0

I

Choose an answer

Diagonal matrix

Scalar matrix

Triangular matrix

Identity matrix

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

Choose an answer

b = 0, a = 0

a = 0,b ≠ 0

b = -0,a≠ 0

a≠ 0,b≠ 0, k = 0

A square matrix A = [aij] is lower triangular matrix when

Choose an answer

aij = 0 for all i<j

bij = 0

cij = 0

dij = 0

Choose an answer

3 x 1

1 x 3

3 x 3

1 x 1

If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is

Choose an answer

Skew-symmetric

Symmetric

Null

Diagonal

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

Choose an answer

AB

A^tB^t

B^tA^t

A^tB

Choose an answer

2 x 2

2 x 3

3 x 2

3 x 3

If A is a skew-symmetric matrix of order n and P, any square matrix of order n, prove that P' AP is

Choose an answer

Skew-symmetric

Symmetric

Null

Diagonal

Choose an answer

2s²

2s³

s³

3s³

For non-trival solution |A| is

Choose an answer

A = 0

A^t= 0

|A| = 0

None of these

Minor of an element a_ijis denoted by

Choose an answer

M_ij

A_ij

|A|

None of these

Choose an answer

2

4

6

8

If A and B are two matrices such that AB = B and BA = A then A2 + B2 =

Choose an answer

2 AB

2 BA

A + B

AB

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

Choose an answer

Null matrix

Identity matrix

Scalar matrix

Row matrix

Choose an answer

Trival solution of homogeneous linear equation is

Choose an answer

(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a, b and c

In order of A is m x n and order of B is n x p then order of AB is

Choose an answer

m x m

n x n

m x p

p x m

If the trace of matrix A is 5, then the trace of the matrix 3A is

Choose an answer

3/5

5/3

8

15

The number of non zero rows in echelon form of a matrix is called

Choose an answer

Order of matrix

Rank of matrix

Row operation

None of these

The transpose of a zero matrix is a ______

Choose an answer

Column matrix

Zero matrix

Row matrix

Scalar matrix

If A is any matrix then its additive inverse is

Choose an answer

A

A^-1

A^t

-A

Which of the following is an identity matrix?

Choose an answer

none of these

Cofactor of an element a_ijis defined by

Choose an answer

(-1)^i+j|A|

(-1)^i+jM_ij

(-1)^i+jM^-1

None of these

The matrix A = [aij]1xn is a

Choose an answer

Vector

Rectangular matrix

Column vector

Square matrix

Choose an answer

a = -1/2, b = -1

a = 1, b = 2

a = 2, b = 3

None of above

More Classes

Other Links

ECAT Pre General Science Mathematics Chapter 5 Matrics and Determinants Online Test MCQs With Answers

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer

Choose an answer