Let 8 = {(1, 1, 0), (0, 1, 1), (1, 0, 1)} and 8¹ = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be bases for R², and let be the matrix for 7: R³ R³ relative to 8. (a) Find the transition matrix P from B' to 8. U 1 -1 -888 0 x (b) Use the matrices P and A to find [v]g and [7(v)]g, where [v], [-1 1 0] ↓↑ [7(v)] = 8 ↓↑ (c) Find A and A' (the matrix for 7 relative to 8). p-1= A'= (d) Find [7(v)]g two ways. [7(v)] = P¹[7(v)] = [7(v)] = A'[v] = [v] = 000-000-
Let 8 = {(1, 1, 0), (0, 1, 1), (1, 0, 1)} and 8¹ = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be bases for R², and let be the matrix for 7: R³ R³ relative to 8. (a) Find the transition matrix P from B' to 8. U 1 -1 -888 0 x (b) Use the matrices P and A to find [v]g and [7(v)]g, where [v], [-1 1 0] ↓↑ [7(v)] = 8 ↓↑ (c) Find A and A' (the matrix for 7 relative to 8). p-1= A'= (d) Find [7(v)]g two ways. [7(v)] = P¹[7(v)] = [7(v)] = A'[v] = [v] = 000-000-
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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