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Let B= (b1,b2) and C= (1.2) be bases for a vector space oppose b₁ = 301-702 and b2 = -60₁ +502. a. Find the change-of-coordinates matrix from B to C. b. Find [x]c for x= -4b, +9b2. Use part (a). (88) a. P = C+-B 18 (Simplify your answers.) b. [x]c= CCO

Let B= (b1,b2) and C= (1.2) be bases for a vector space oppose b₁ = 301-702 and b2 = -60₁ +502. a. Find the change-of-coordinates matrix from B to C. b. Find [x]c for x= -4b, +9b2. Use part (a). (88) a. P = C+-B 18 (Simplify your answers.) b. [x]c= CCO

Advanced Engineering Mathematics
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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11 Let B= (b₁,b2) and C= (01.02) be bases for a vector space od pose ₁ =301-702 and b2 = -80₁ +50₂. a. Find the change-of-coordinates matrix from B to C. b. Find [x]c for x=-4b, +9b2. Use part (a). a. P = C+-B 18- b. [x]c= (Simplify your answers.)
Transcribed Image Text:11 Let B= (b₁,b2) and C= (01.02) be bases for a vector space od pose ₁ =301-702 and b2 = -80₁ +50₂. a. Find the change-of-coordinates matrix from B to C. b. Find [x]c for x=-4b, +9b2. Use part (a). a. P = C+-B 18- b. [x]c= (Simplify your answers.)
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