(c) Two of these functions preserve orientation. Which are they? Select exactly two options. If you select any more than two options, you will score zero for this part. OJ OK OL COM ON (No answer given) (d) One of these transformations is a clockwise rotation of the plane. Which is it?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3.3

(c) Two of these functions preserve orientation. Which are they?
Select exactly two options. If you select any more than two options, you will score zero for this part.
OJ
OK
OL
OM
ON
(No answer given)
(d) One of these transformations is a clockwise rotation of the plane. Which is it?
Transcribed Image Text:(c) Two of these functions preserve orientation. Which are they? Select exactly two options. If you select any more than two options, you will score zero for this part. OJ OK OL OM ON (No answer given) (d) One of these transformations is a clockwise rotation of the plane. Which is it?
Each of J, K, L, M and N is a linear transformation from R2 to R2. These functions are given as follows:
J(x1, x2) = (5x1 - 5x2, -10x1 + 10x2),
K(x₁, x2)=(-√√5x2, √5x1),
L(x₁, x₂) = (x2, -x₁),
M(x1, x2) = (5x1 + 5x2, 10x1 - 6x2),
N(x1, x2) = (-√√5x1, √5x2).
Transcribed Image Text:Each of J, K, L, M and N is a linear transformation from R2 to R2. These functions are given as follows: J(x1, x2) = (5x1 - 5x2, -10x1 + 10x2), K(x₁, x2)=(-√√5x2, √5x1), L(x₁, x₂) = (x2, -x₁), M(x1, x2) = (5x1 + 5x2, 10x1 - 6x2), N(x1, x2) = (-√√5x1, √5x2).
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