Consider the ordered bases 3 = {(1,0), (1, 1)} and ß' = {(1,7), (–2, 5)} for R². (b) Let 3" = {v1, v2} be an unknown ordered basis for R², and suppose that Q = ( 1 3 is the matrix 5 -2 that changes 3"-coordinates into B'-coordinates. Find v1. Show your work, and circle your final answer.

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Chapter2: Second-order Linear Odes
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Hi, I need help with this Linear Algebra problem, please. Thank you! :)

Consider the ordered bases B = {(1,0), (1, 1)} and ß' = {(4, 7), (–2, 5)} for R².
1
(b) Let ß" = {v1, v2} be an unknown ordered basis for R², and suppose that Q =
3
is the matrix
-2
that changes B"-coordinates into B'-coordinates. Find vị. Show your work, and circle your final answer.
Transcribed Image Text:Consider the ordered bases B = {(1,0), (1, 1)} and ß' = {(4, 7), (–2, 5)} for R². 1 (b) Let ß" = {v1, v2} be an unknown ordered basis for R², and suppose that Q = 3 is the matrix -2 that changes B"-coordinates into B'-coordinates. Find vị. Show your work, and circle your final answer.
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