Let T:R - R3 be the linear operator defined by T(x1, X2, X3) = (16x1 - 16x2,16x2 - 16x1,16x1 - 16x3) Find the matrix for T with respect to the basis B = {v,, v2, V3}, where v = (1,0,1), V2 - (0,1,1), V3 = (1,1,0) Give exact answers in decimal form. ||

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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Subject: Linear Algebra

Let T:R3 - R3 be the linear operator defined by
T(x1, X2, X3) - (16x1 - 16x2,16x2 - 16x1,16x1 - 16x3)
Find the matrix for T with respect to the basis B = {v,, v2, V3}, where
v, = (1,0,1),
v2 - (0,1,1),
V3 = (1,1,0)
Give exact answers in decimal form.
Transcribed Image Text:Let T:R3 - R3 be the linear operator defined by T(x1, X2, X3) - (16x1 - 16x2,16x2 - 16x1,16x1 - 16x3) Find the matrix for T with respect to the basis B = {v,, v2, V3}, where v, = (1,0,1), v2 - (0,1,1), V3 = (1,1,0) Give exact answers in decimal form.
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