2. Linear transformation L is given by the formula below. Find the matrix of L, the domain, the co-domain, the kernel, and the range using methods of linear angebra. Make sure to show all work and clearly mark the answers. Question a. L(x, y) = (x – y, x + y, –x + y, y) Question b. L(x, y, z, w) = (x +y + z + w, x – w)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2.
Linear transformation L is given by the formula below.
Find the matrix of L, the domain, the co-domain, the kernel, and the range
using methods of linear angebra. Make sure to show all work and clearly
mark the answers.
Question a.
L(x, y) = (x – y,x + y, –x + y, y)
-
Question b.
L(x, y, z, w) = (x + y + z + w, x – uw)
-
Transcribed Image Text:2. Linear transformation L is given by the formula below. Find the matrix of L, the domain, the co-domain, the kernel, and the range using methods of linear angebra. Make sure to show all work and clearly mark the answers. Question a. L(x, y) = (x – y,x + y, –x + y, y) - Question b. L(x, y, z, w) = (x + y + z + w, x – uw) -
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