A= {a,a2a3} and B= {b,.b2.b3} be bases for a vector space V, and suppose a, = 5b, - - 2b3. a. Find the change-of-coordinates matrix from A to B. b. Find xlg for x= 5a, + 6a2 + a3. a. P B-A (Simplify your answer.)

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Let A=
{a;.a2,a3} and B = {b,.b2.b3} be bases for a vector space V, and suppose a, = 5b, -
– 2b3.
a. Find the change-of-coordinates matrix from A to B.
b. Find (xlg for x= 5a, + 6a2 + az.
a P
B-A
b. xlg =0
(Simplify your answer.)
Transcribed Image Text:Let A= {a;.a2,a3} and B = {b,.b2.b3} be bases for a vector space V, and suppose a, = 5b, - – 2b3. a. Find the change-of-coordinates matrix from A to B. b. Find (xlg for x= 5a, + 6a2 + az. a P B-A b. xlg =0 (Simplify your answer.)
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