Linear Algebra

MT132 (M132): Direct Algebra

Tutor Marked Assignment

Cut-Off Date: November --, 2020 Total Marks: 40

Contents

Feedback produce ……….……………..…………..…………………….…...….. 2

Question 1 ……………………..………………………………………..……… 3

Question 2 ……………………………..………………..……………………… 4

Question 3 ………………………………..………………..…………………… 5

Question 4 ………………..……………………………………..……………… 6

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Date : ___________

MT132 TMA Feedback Form

[A] Student Component

Student Name : ____________________

Student Number : ____________

Group Number : _______

[B] Tutor Component

CommentsWeightMark
Q_110
Q_210
Q_310
Q_410
40
General Comments:
Tutor name:

The TMA covers solely chapters 1 and 2. It consists of lewd doubts; each doubt is estimate 10 marks. Please unfold each doubt in the room yieldd. You should yield the details of your solutions and not impartial the conclusive terminations.

Q−1: [5×2 marks] Answer each of the subjoined as True or False impartialifying your answers:

a) Let and . If , then .

b) If and , then .

c) If is a non-singular matrix, then .

d) .

e) The vector is a direct association of the vectors and .

Q−2: [5+5 marks]

a) Let .

i. Find all values of , if any, for which exists

ii. For unfold the method .

b) Unfold for : .

Q−3: [5+5 marks]

a) Unfold the direct method .

b) Consider the direct method:

For which values of does the direct method bear

i. no solution;

ii. a uncommon solution;

iii. infinitely abundant solutions.

Q−4: [5+5 marks] Let be a directly stubborn a set of vectors in and be a set of vectors in , where , and .

a) Determine whether the set is directly stubborn.

b) If likely, transcribe each of the vectors , and as a direct association of vectors in .

MT132 – Direct Algebra 2020-2021 / Fall

6

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