MTH303 Assignment 2 Solution and Discussion

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Assignment#2 MTH303 (Fall 2019)
DON’T MISS these important instructions:
Total marks: 10 Lecture#29-31 Due date: January 26, 2020
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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)

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Please share Solution idea

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Some Liner transformation Examples:

Examples