Finding an Image and a Preimage In Exercises 1-8, use the function to find (a) the image of v and (b) the preimage of w . T ( v 1 , v 2 , v 3 ) = ( 2 v 1 + v 2 , v 1 − v 2 ) v = ( 2 , 1 , 4 ) , w = ( − 1 , 2 )
Finding an Image and a Preimage In Exercises 1-8, use the function to find (a) the image of v and (b) the preimage of w . T ( v 1 , v 2 , v 3 ) = ( 2 v 1 + v 2 , v 1 − v 2 ) v = ( 2 , 1 , 4 ) , w = ( − 1 , 2 )
Solution Summary: The author explains how v is in V, and w if it's T(v) = W.
Use the function to find the image of v and the preimage of w.
Use the function to find the image of v and the preimage of w.
T(V₁, V₂) =(√² v₁
(a) the image of v
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√2
2
V2, V1 + V2, 2V1 1 -√₂)₁ V = (7
v = (7,7), w = (-5√/2, 6, -12)
(b) the preimage of w (If the vector has an infinite number of solutions, give your answer in terms
Geometry Review Worksheet
A
(1) Refer to the figure to the right , given DE || BC.
(a) AD = 7, BD= 3, DE = 6
Find: BC_
(b) AD = 3, BD = 5 , AE = 4
Find: CE
E
(c) AD = 4, AB = 10 , BC = 25 Find: DE
(d) AD = (x –1), BD = 5 , AE = 1, CE = (x +3),
DE = (2x + 1)
Find: x , BC_
B
(e) AD = 2x , BD = (x + 3), AE = (4x – 1),
СЕ 3 5х , ВС - (6х + 2) Find: х.
DE
(2) Refer to the figure to the right, Z1 = 2.
(a) AC = 6 , BC = 8 , BD = 5
Find: AD
(b) AB = 10 , AC = 4 , BC = 8 Find: AD
(c) AC = 3 , AD = (x – 4) , BC = x , BD = 4
Find: BC
A
D
В
(3) Given: ABCD is a parallelogram, sides as
(4) Given: The figure below, 1||m||n
marked.
12
1
10
8
x + 2
D
C.
Find: BE_
СЕ
CF
Find: x
Chapter 6 Solutions
Bundle: Elementary Linear Algebra, Loose-leaf Version, 8th + MindTap Math, 1 term (6 months) Printed Access Card
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