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THIS DOCUMENT HAS THE QUESTIONS OF MATHEMATICS FOR COMPUTING

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  • December 4, 2023
  • 6
  • 2023/2024
  • Exam (elaborations)
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|This qucstion papcr contains 6 printed pages.!
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)

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