Find T(v) by using the standard matrix and the matrix relative to B and B. T: R² → R², T(x, y) = (2y, 0), v = (-1, 2), B = {(2, 1), (−1, 0)}, B' = {(1, 0), (2, 2)} (a) standard matrix T(v) = ? (b) the matrix relative to B and B' T(v) = ?
Find T(v) by using the standard matrix and the matrix relative to B and B. T: R² → R², T(x, y) = (2y, 0), v = (-1, 2), B = {(2, 1), (−1, 0)}, B' = {(1, 0), (2, 2)} (a) standard matrix T(v) = ? (b) the matrix relative to B and B' T(v) = ?
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 17CM
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Transcribed Image Text:Find T(v) by using the standard matrix and the
matrix relative to B and B'
T: R² → R²,
T(x, y) = (2y, 0),
v = (-1, 2),
B = {(2, 1), (−1, 0)},
B' = {(−1, 0), (2, 2)}
(a) standard matrix
T(v) = ?
(b) the matrix relative to B and B'
T(v) = ?
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