Which of the following transformations are linear? Y1 = -10x1 OA. Y2 = 6x1 Y3 = 3x1 OB. ( OC. Y2 Y3 OD. OE. OF { Y1 Y2 = X2 Y₁ = [91 y/2 = Y1 = Y2 Y1 Y2 Y3 = = x1 +4 = 7x2 -3x3 -8x1 8x1 UT 6 2 7 9x1 + x2 -X1

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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Which of the following transformations are linear?
OA.
OB.
OD.
(
OC. Y2 =
Y3
OE.
OF
Y1 =
Y2
Y3 =
{
Y1 =
Y2 =
Y₁ =
Y1
Y2
[91
=
Y1
Y2
Y3 =
=
=
3/2 =
-10x1
6x1
3x1
x₁ +4
X2
7x2
-3x3
-8x1
8x1
UT
6
2
7
9x1 + x2
-x1
Transcribed Image Text:Which of the following transformations are linear? OA. OB. OD. ( OC. Y2 = Y3 OE. OF Y1 = Y2 Y3 = { Y1 = Y2 = Y₁ = Y1 Y2 [91 = Y1 Y2 Y3 = = = 3/2 = -10x1 6x1 3x1 x₁ +4 X2 7x2 -3x3 -8x1 8x1 UT 6 2 7 9x1 + x2 -x1
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