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Your Roll No2206ss20olD
Sr. No. of Question Paper : 1058 D
Unique Paper Code : 2342011103
Name of the Paper Mathematics for Computing
Name of the Course : B.Sc. (H) Computer Science
Semester
Duration: 3 Hours Maximum Marks : 90
Instructions for Candidates
1. Write your Roll No. on the lop immediately on receipt
of this question paper.
compulsory.
2. The paper has two sections. Section A is
Each question is of 5 marks.
from Section B. Each
3. Attempt any four questions
question is of 15 marks.
Section A
in matrix
1. (a) Write the following system of equations
row
form. Reduce the augmented matrix into
echelon form. (5)
P.T.0.
, 2
1058
x,+ 3x, + x, = 1
-4x, - 9x, + 2x, = -1
-3x, 6x, = -3
(b) Define a convex set. Show if C = {x,: 2x, + 3x,
= } cR' is a convex set. (5)
(c) Show that the transformation defined by T(x,, x)
= (2x, - 3x,, x, + 4, 5x,) is not linear. (5)
(d) Findthecharacteristic polynomial of the following
matrix (5)
1 0 -1|
A= 1 -3
4 -13 1
(e) Let a =-2i+3j+ 5k and b=i+2j+3k be two
vectors, Find the value of the dot product of these
two vectors. (5)
() Determine whether or not the vectors (4, 1, -2),
(-3, 0, 1) and (1, -2, 1) form a basis of R?.
(5)
Your Roll No2206ss20olD
Sr. No. of Question Paper : 1058 D
Unique Paper Code : 2342011103
Name of the Paper Mathematics for Computing
Name of the Course : B.Sc. (H) Computer Science
Semester
Duration: 3 Hours Maximum Marks : 90
Instructions for Candidates
1. Write your Roll No. on the lop immediately on receipt
of this question paper.
compulsory.
2. The paper has two sections. Section A is
Each question is of 5 marks.
from Section B. Each
3. Attempt any four questions
question is of 15 marks.
Section A
in matrix
1. (a) Write the following system of equations
row
form. Reduce the augmented matrix into
echelon form. (5)
P.T.0.
, 2
1058
x,+ 3x, + x, = 1
-4x, - 9x, + 2x, = -1
-3x, 6x, = -3
(b) Define a convex set. Show if C = {x,: 2x, + 3x,
= } cR' is a convex set. (5)
(c) Show that the transformation defined by T(x,, x)
= (2x, - 3x,, x, + 4, 5x,) is not linear. (5)
(d) Findthecharacteristic polynomial of the following
matrix (5)
1 0 -1|
A= 1 -3
4 -13 1
(e) Let a =-2i+3j+ 5k and b=i+2j+3k be two
vectors, Find the value of the dot product of these
two vectors. (5)
() Determine whether or not the vectors (4, 1, -2),
(-3, 0, 1) and (1, -2, 1) form a basis of R?.
(5)
