Which of the following transformations are linear? Y1=r A. Y2-13 Y1=8x2 Y2=-6x3 Y3=-3x1 Y1=-9x1 O C. y2=7xı Y3=6x1 В. Y1=x1+5 O D. Y2=2 Y1=0 E. Y2 112 Y1=4x1+ x2 2=-I1

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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Question
Which of the following transformations are linear?
Yı=x}
A.
Y2-13
Y1=8x2
Y2=-6x3
Y3=-3x1
Y1=-9x1
Y2=7x1
Y3=6x1
O B.
C.
Y1=x1+5
D.
Y2=2
Y1=0
E.
Y1=4x1+ x2
F.
Y2=-X1
Transcribed Image Text:Which of the following transformations are linear? Yı=x} A. Y2-13 Y1=8x2 Y2=-6x3 Y3=-3x1 Y1=-9x1 Y2=7x1 Y3=6x1 O B. C. Y1=x1+5 D. Y2=2 Y1=0 E. Y1=4x1+ x2 F. Y2=-X1
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Next
Let L be the line in P3 that consists of all scalar multiples of the vector
Find the reflection of the vector v =
in the line L-
2.
8
46/19
L(v) =
23/19
68/19
食
W
WARNIN
ay 7:36
CL
W
II
F8
F9
F10
F4
F5
F6
F7
219
Transcribed Image Text:Up Next Let L be the line in P3 that consists of all scalar multiples of the vector Find the reflection of the vector v = in the line L- 2. 8 46/19 L(v) = 23/19 68/19 食 W WARNIN ay 7:36 CL W II F8 F9 F10 F4 F5 F6 F7 219
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