Let B= {b,,b2} and C= (c1,c2} be bases for a vector space V, and suppose b, = - 7c, +3c, and b, = 4c, - 2c2. a. Find the change-of-coordinates matrix from B to C. b. Find [x]c for x= 6b, - 3b2. Use part (a).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Let B= {b,,b2} and C= (c1,c2} be bases for a vector space V, and suppose b, = - 7c, +3c, and b, = 4c, - 2c2.
a. Find the change-of-coordinates matrix from B to C.
b. Find [x]c for x= 6b, - 3b2. Use part (a).
Transcribed Image Text:Let B= {b,,b2} and C= (c1,c2} be bases for a vector space V, and suppose b, = - 7c, +3c, and b, = 4c, - 2c2. a. Find the change-of-coordinates matrix from B to C. b. Find [x]c for x= 6b, - 3b2. Use part (a).
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