Mathematics - I (3110014) MCQs

MCQs of Matrices

Showing 1 to 10 out of 44 Questions
1.

Which of the following matrix is in Row Echelon Form?

(a)

01230000002-4

(b)

01-4512340000

(c)

0-20400050000

(d)

123400-572390

Answer:

Option (c)

2.

Which of the following matrix is in Reduced Row Echelon Form?

(a)

104601570001

(b)

14-3701620015

(c)

010600020000001

(d)

10040107001-1

Answer:

Option (d)

3.

The minimum and maximum eigen values of the matrix 3-10-12-10-13 are 1 and 4 respectively. What is the other eigen value?

(a)

3

(b)

4

(c)

0

(d)

-2

Answer:

Option (a)

4.

The rank of the matrix 1111-10111 is _____.

(a)

0

(b)

1

(c)

2

(d)

3

Answer:

Option (c)

5.

If A =-1000020057209102 , then A.M. of 2 is _____.

(a)

1

(b)

2

(c)

3

(d)

5

Answer:

Option (c)

6.

Which of the following is always true for any square matrix?

(a)

A.M. G.M.

(b)

A.M.  G.M.

(c)

A.M.  > G.M

(d)

A.M. = G.M.

Answer:

Option (a)

7.

The system of linear equations x+2y+z=6, 2x+y+2z=6 & x+y+z=5 has _____.

(a)

no solution

(b)

infinitely many solutions

(c)

unique solution

(d)

finite solution

Answer:

Option (a)

8.

The eigen values of the matrix 221131122 are given by solving the cubic equation _____.

(a)

λ3+7λ2+11λ+5=0

(b)

λ3+7λ2+11λ-5=0

(c)

λ3-7λ2+11λ+5=0

(d)

λ3-7λ2+11λ-5=0

Answer:

Option (d)

9.

For what values of α and β the following linear system have an infinite number of solution?

x+y+z=5,x+3y+3z=9, x+2y+αz=β

(a)

7, 2

(b)

3, 8

(c)

8, 3

(d)

2, 7

Answer:

Option (d)

10.

Let ρ(A-3I)=1 , where A is a square matrix of order 3 . Then G.M. of the eigen value 3 is _____.

(a)

1

(b)

2

(c)

3

(d)

4

Answer:

Option (b)

Showing 1 to 10 out of 44 Questions