Use the definition of the sum of two linear transformations directly to compute (T1 + T2)((x, y, z)). а. your answer in (a) to find [T1 + T2]. Find [T¡] and [T2], and use these to compute [T1] + [T2]. b. Use с.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please answer a, b and c

Use the definition of the sum of two linear transformations directly to compute
(T1 + T2)((x, y, z)).
Use your answer in (a) to find [T1 + T2].
Find [T¡] and [T2], and use these to compute [Tı]+[T2].
а.
b.
с.
Transcribed Image Text:Use the definition of the sum of two linear transformations directly to compute (T1 + T2)((x, y, z)). Use your answer in (a) to find [T1 + T2]. Find [T¡] and [T2], and use these to compute [Tı]+[T2]. а. b. с.
1.
Let T1, T2 : R³ → R² be given by:
T1((x, y, z)) = (3x – 2y + 5z, x + 4y – 7z), and
T2((x, y, z)) = (2x + 9z, x – y + 3z).
Transcribed Image Text:1. Let T1, T2 : R³ → R² be given by: T1((x, y, z)) = (3x – 2y + 5z, x + 4y – 7z), and T2((x, y, z)) = (2x + 9z, x – y + 3z).
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