DON’T MISS these important instructions:

Total marks: 10 Lecture#29-31 Due date: January 26, 2020

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 ⃗

Consider a linear transformation 𝑇: 𝑅2 → 𝑅2 defined by 𝑇(𝑥) = 𝐴(𝑥) then verify that

𝑇(𝑢⃗ +𝑣)=𝑇(𝑢⃗ ) + 𝑡(𝑣), where

Question#2

Let 𝑇: 𝑅2 → 𝑅3 be a linear transformation such that defined by

𝑇(𝑥1, 𝑥2) = (𝑥1 − 2𝑥2, −𝑥1 + 3𝑥2, 3𝑥1 − 2𝑥2). Find 𝑥 such that 𝑇(𝑥) = (−1,4,9)

DON’T MISS these important instructions:

Total marks: 10 Lecture#29-31 Due date: January 26, 2020

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 ⃗

Consider a linear transformation 𝑇: 𝑅2 → 𝑅2 defined by 𝑇(𝑥) = 𝐴(𝑥) then verify that

𝑇(𝑢⃗ +𝑣)=𝑇(𝑢⃗ ) + 𝑡(𝑣), where

Question#2

Let 𝑇: 𝑅2 → 𝑅3 be a linear transformation such that defined by

𝑇(𝑥1, 𝑥2) = (𝑥1 − 2𝑥2, −𝑥1 + 3𝑥2, 3𝑥1 − 2𝑥2). Find 𝑥 such that 𝑇(𝑥) = (−1,4,9)