-1 -3 -8 -7 Let P = - 3 - 4 V1 = 4 ,V2 = 6 , and v3 = 3 Complete parts (a) and (b). 1 4 a. Find a basis fu,, u2, uz) for R such that P is the change-of-coordinates matrix from fu,, u2, uz) to the basis (v,, v2, v3). [Hint: What do the columns of P C- B represent?] u, = ,u, = uz = b. Find a basis (w,, w2, W3} for R° such that P is the change-of-coordinates matrix from {v,, v2, V3} to (w1, w2, w3}. w, = W, = W2 =
-1 -3 -8 -7 Let P = - 3 - 4 V1 = 4 ,V2 = 6 , and v3 = 3 Complete parts (a) and (b). 1 4 a. Find a basis fu,, u2, uz) for R such that P is the change-of-coordinates matrix from fu,, u2, uz) to the basis (v,, v2, v3). [Hint: What do the columns of P C- B represent?] u, = ,u, = uz = b. Find a basis (w,, w2, W3} for R° such that P is the change-of-coordinates matrix from {v,, v2, V3} to (w1, w2, w3}. w, = W, = W2 =
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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