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(4) Define a linear transformation T : R³ → R³ by +8-8-8-8-8-8 = = T = 1 Is this transformation invertible? What does this transformation do to a vector a ? (Bonus: if you write a polynomial as a + bx + cx², how does that relate to C the transformation?)

(4) Define a linear transformation T : R³ → R³ by +8-8-8-8-8-8 = = T = 1 Is this transformation invertible? What does this transformation do to a vector a ? (Bonus: if you write a polynomial as a + bx + cx², how does that relate to C the transformation?)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(4) Define a linear transformation T : R³ → R³ by 8-8-8-8-8-8 = = Is this transformation invertible? What does this transformation do to a vector U ? (Bonus: if you write a polynomial as a + bx + cx², how does that relate to the transformation?)
Transcribed Image Text:(4) Define a linear transformation T : R³ → R³ by 8-8-8-8-8-8 = = Is this transformation invertible? What does this transformation do to a vector U ? (Bonus: if you write a polynomial as a + bx + cx², how does that relate to the transformation?)
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