Let a and B be the standard bases for R" and R" respectively. Foreach of the following linear transformations T; : R² → R", compute thematrix [T;%-2ab()(a) T1 : R² → R³, TЗа + 46a() - (*:)(C)(C)(2а + 3b —.a +b(b) Т, : R3 — R?, T,b(c) T3 : R³ → R', T3= (2a + b – 3c).(d) T4 : R" → R", T4

By bartleby rules, only first three sub parts have been answered Given linear transformation is…

Let a and B be the standard bases for R" and R" respectively. For each of the following linear transformations T; : R" → R", compute the matrix [T;%. (6) - (*-) () - (*:) () 2а —b (a) T1 : R? → R³, T1 За + 4b a 2а + 3b — (b) T2 : R³ → R², T2 %3D a + b (c) T3 : R³ → R', T3 = (2a + b – 3c).

Let a and B be the standard bases for R" and R" respectively. For each of the following linear transformations T; : R" → R", compute the matrix [T;%. (6) - (-) () - (:) () 2а —b (a) T1 : R? → R³, T1 За + 4b a 2а + 3b — (b) T2 : R³ → R², T2 %3D a + b (c) T3 : R³ → R', T3 = (2a + b – 3c).

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Linear Transformations

Section6.CR: Review Exercises

Problem 21CR: Let T be a linear transformation from R2 into R2 such that T(4,2)=(2,2) and T(3,3)=(3,3). Find...

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Question

Let a and B be the standard bases for R" and R" respectively. For
each of the following linear transformations T; : R² → R", compute the
matrix [T;%-
2a
b
()
(a) T1 : R² → R³, T
За + 46
a
() - (*:)
(C)
(C)
(2а + 3b —.
a +b
(b) Т, : R3 — R?, T,
b
(c) T3 : R³ → R', T3
= (2a + b – 3c).
(d) T4 : R" → R", T4

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