MTH501 Assignment 1 Solution and Discussion

Assignment#1
MTH501 (Fall 2019)
Total marks: 20
Lecture#1-10
Due date: November 19, 2019

DON’T MISS these important instructions:
• Upload assignments properly through LMS.
• All students are directed to use the font and style of text as is used in this document.
• This is an individual assignment, not group assignment, so keep in mind that you are supposed to submit your own and self-made assignment even if you discuss the questions with your class fellows. All similar assignments (even with some meaningless modifications) will be awarded zero marks and no excuse will be accepted. This is your responsibility to keep your assignment safe from others.
• Solve the assignment on MS word document.

Question#1
If and . Determine whether can be generated as a linear combination of and ? Give complete steps of solution.

Question#2
Show that the transformation defined by is linear by proving and .

4b949755-63dd-478f-ab5a-718b14b2d415-image.png

@zareen said in MTH501 Assignment 1 Solution and Discussion:

Show that the transformation defined by is linear by proving and .

5c53162d-dde1-4f65-b2f5-95c2558cac14-image.png

@zareen said in MTH501 Assignment 1 Solution and Discussion:

If and . Determine whether can be generated as a linear combination of and ? Give complete steps of solution.

0548c817-502e-406c-ba55-5a16730f384e-image.png

d35ebda7-728c-48c0-b5ce-f30c589bf1cf-image.png

f0ba28b8-734b-4a3a-aaec-1034897a326f-image.png

7ac010cf-e494-48ba-8543-9df51092096c-image.png 7cd21e69-c80e-4804-95ad-ae024d080919-image.png