Show that Tis a linear transformation by finding a matrix that implements the mapping. Note that x1, X2. ... are not vectors but are entries in vectors T(x1 X2.X3) = (×1 - 8x2 + 5x3, X2 - 4×3) A= (Type an integer or decimal for each matrix element.)
Show that Tis a linear transformation by finding a matrix that implements the mapping. Note that x1, X2. ... are not vectors but are entries in vectors T(x1 X2.X3) = (×1 - 8x2 + 5x3, X2 - 4×3) A= (Type an integer or decimal for each matrix element.)
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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Step 1
Let us consider the transformation . Consider the standard basis of V is then the matrix of the mapping is obtained as
Where is the coordinate matrix of the image of v1 in the standard basis of W
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