4. Let B = {V1; V2, V3} and C ={w1; w2; w3} be bases for R°, with vectors defined below. V1 -3 1 V3 = 1 and --:).--(:) -(;) 1 wi = w2 = w3 = 1 Let L: R3 → R³ be the linear transformation defined by « (:)-(E) L: y Find [L]B and [L]c, the matrices associated to L with respect to B and with respect to C.
4. Let B = {V1; V2, V3} and C ={w1; w2; w3} be bases for R°, with vectors defined below. V1 -3 1 V3 = 1 and --:).--(:) -(;) 1 wi = w2 = w3 = 1 Let L: R3 → R³ be the linear transformation defined by « (:)-(E) L: y Find [L]B and [L]c, the matrices associated to L with respect to B and with respect to C.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 12EQ
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