Given the equation of conics x²+3y² + 32² + 4xy + 4xz-2yz = 30, The transformed equation in the (x,y') coordinates is (rounded in TWO decimal places) Blank 1x¹2 - Blank 2y¹2 + Blank 3z¹2=30. Then, the rotational matrix that was used is R₁1 R₁2 R₁ 11 12 13 R= R₁ R R 21 22 R R R 31 23 32 33 +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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where
R₁1 = Blank 4,
R12 = Blank 5,
R13 = Blank 6,
R21 = Blank 7,
R22 = Blank 8,
R23 = Blank 9,
R31 = Blank 10,
R32 = Blank 11,
R33 = Blank 12.
Transcribed Image Text:where R₁1 = Blank 4, R12 = Blank 5, R13 = Blank 6, R21 = Blank 7, R22 = Blank 8, R23 = Blank 9, R31 = Blank 10, R32 = Blank 11, R33 = Blank 12.
Given the equation of conics
x²+3y² + 32² + 4xy + 4xz-2yz=30,
The transformed equation in the (x,y') coordinates is (rounded in TWO decimal places)
Blank 1x¹2 - Blank 2y¹2 + Blank 3z¹2= 30.
Then, the rotational matrix that was used is
( R₁1 R₁2 R₁
13
R= R₁ R R
21
22
R
31
23
R R
32 33
+
Transcribed Image Text:Given the equation of conics x²+3y² + 32² + 4xy + 4xz-2yz=30, The transformed equation in the (x,y') coordinates is (rounded in TWO decimal places) Blank 1x¹2 - Blank 2y¹2 + Blank 3z¹2= 30. Then, the rotational matrix that was used is ( R₁1 R₁2 R₁ 13 R= R₁ R R 21 22 R 31 23 R R 32 33 +
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