# 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

Plagiarism Warning:

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Declaration of No Plagiarism by Student (to be attested and complyted by students after a while TMA exertion):

I hereby propose that this complyted TMA exertion is a termination of my own efforts and I bear not plagiarized any other person's exertion. I bear yieldd all references of instruction that I bear used and alleged in my TMA exertion.

Student Name : _____________________

Signature : _________________

Date : ___________

MT132 TMA Feedback Form

[A] Student Component

Student Name : ____________________

Student Number : ____________

Group Number : _______

[B] Tutor Component

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.

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 .

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

MT132 – Direct Algebra 2020-2021 / Fall

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