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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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4. Let B = {v1, V2, V3} and C = {w1, w2, w3} be bases for R, with vectors defined below. (:) V1 = -3 • U2 = • V3 = 1 and 1 wi = w2 = w3 = -1 Let L: R3 → R³ be the linear transformation defined by (:) - () y Find [L]B and [L]c, the matrices associated to L with respect to B and with respect to C.
Transcribed Image Text:4. Let B = {v1, V2, V3} and C = {w1, w2, w3} be bases for R, with vectors defined below. (:) V1 = -3 • U2 = • V3 = 1 and 1 wi = w2 = w3 = -1 Let L: R3 → R³ be the linear transformation defined by (:) - () y Find [L]B and [L]c, the matrices associated to L with respect to B and with respect to C.
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