Will you please check my solution?Vector v1=[1, 1, 2]T, vector v2=[0, 1, 1]T, vector v3=[-1, 2, 0]TTransformation f : R3 -> R3 is given by the pictures of vector v1 v2 v3 as follows:f(v1) = [-9, 6, -3]T ,f(v2) = [-3, 2, -1]T ,f(v3) = [5, -3, 4]TFind the matrix transformation f relative to the base unitFind, if vector u = [-1, 2, 1]T is in the core of this transformation fThank you! 2.(7 うーを、(1,2,2)+5-メ-38-37-く (の7)(1,7,2)4-メ-3もーろコー3x (0.77)toX- an-aる4=9,+92 3=2+ラーキ(フッ7って) 7-3と-(277)t.ー7コィープ)0 -71X314ーメ1071xA +x +4-2.(-1,2,0)2.し13(マーX.(-2)2 12-2x0 -7ー)21(47,2)=てょ4ーを (-,66-3) -4-レゥー3ょ- (-3,とて)ナ(カベー15)モーんけメナ-9.(レx+ワ-と)+(3) -(-4x-27-32) +r.(44ーと) -)7.3uf.%3DメナムナモーニEくこメームーそ= ミローar+3az=7-X -> az =りーメー3a3%3Da2=ューX-3.(z4り+x),6. (2メ47-2 (- とラー3と)-3.(メ4コ-2)-2.Sut.aっ-のもこX) aっニメ+a3%3D%3Dし.(2x - + 3.556anンメ+X+ラーとマームナXて-レビース-9り49シ+ 9+55-55と1とメそ69 -62 - Pe-&y-62とーうKー39ーろとそカームカナメカナそェーくて-メカーそをナんを~1クーそをしナらてとメーマカーム-メモSレームーをそミルナんてかメー6x-ター42)3メ-4-756X -9-43マー(-てたー(-7++31-3-2-75,62-4)

Given vectors are v1=112, v2=001, v3=-120 Transformation is f:R3→R3 as follow f(v1)=-963T,…

Answered: Vector v1=[1, 1, 2]T, vector v2=[0, 1,…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.CR: Chapter Review

Problem 5CC

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Will you please check my solution?

Vector v₁=[1, 1, 2]^T, vector v₂=[0, 1, 1]^T, vector v₃=[-1, 2, 0]^T
Transformation f : R³ -> R³ is given by the pictures of vector v₁ v₂ v₃ as follows:

f(v₁) = [-9, 6, -3]^T ,f(v₂) = [-3, 2, -1]^T ,f(v₃) = [5, -3, 4]^T

Find the matrix transformation f relative to the base unit
Find, if vector u = [-1, 2, 1]^T is in the core of this transformation f

Thank you!

2.
(7 うーを、(1,2,2)+5-メ-38-37-く (の7)
(1,7,2)4-メ-3もーろコー3x (0.77)
to
X- an-aる
4=9,+92 3
=2+ラーキ(フッ7って) 7-3と-(277)
t.
ー7
コィープ)
0 -71X
314ーメ
1071x
A +x +4-2.(-1,2,0)
2.
し
13(マーX
.(-2)
2 12-2x
0 -7ー)
21
(47,2)=てょ4ーを (-,66-3) -4-レゥー3ょ- (-3,とて)ナ
(カベー15)モーんけメナ
-9.(レx+ワ-と)+(3) -(-4x-27-32) +r.(44ーと) -)7.3uf.
%3D
メナムナモーニEくこメームーそ= ミロー
ar+3az=7-X -> az =りーメー3a3
%3D
a2=ューX-3.(z4り+x),
6. (2メ47-2 (- とラー3と)-3.(メ4コ-2)-2.Sut.
aっ-のもこX) aっニメ+a3
%3D
%3D
し.(2x - + 3.556
anンメ+X+ラーと
マームナXて-レビ
ース-9り49シ+ 9+55-55と
1とメそ69 -62 - Pe-&y-62とーうKー39ーろと
そカームカナメカナそェーくて-メカーそをナんを~1クー
そをしナらてとメー
マカーム-メモSレームーをそミルナんてかメー
6x-ター42)
3メ-4-75
6X -9-43
マー(-てたー(-7++31-3-2-75,62-4)

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