. Suppose that T : R² → R³ is a linear transformation given by: T(i) = (0,–5, 3) and TJ) = (2, 4,–7). Find [T]. а. b. Use [T] to compute T((7,–2)) as a matrix product. Give a general formula for T((x, y)). с. Hint: compute the general matrix product [T] y

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The question is in the picture please answer a, b and c

8. Suppose that T : R² → R³ is a linear transformation given by:
T(i) = (0,-5, 3) and TJ) = (2,4,–7).
Find [T].
Use [T] to compute T((7,-2)) as a matrix product.
Give a general formula for T((x, y)).
а.
b.
с.
Hint: compute the general matrix product [T]
y
Transcribed Image Text:8. Suppose that T : R² → R³ is a linear transformation given by: T(i) = (0,-5, 3) and TJ) = (2,4,–7). Find [T]. Use [T] to compute T((7,-2)) as a matrix product. Give a general formula for T((x, y)). а. b. с. Hint: compute the general matrix product [T] y
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