y>A : = XT AY ist ein Chalcoprodukt auf R². 5 Es gilt A = x ² A x = (x₁ X 2) (1 2) (x2) (x₂ x ₂) (5x1+x²) = 5x ² + 2x₁x₂ + 2x1²/² = 2 = 4 x ₂²² + zo ه + X²₂² + (x₂ + x₂ ) ² = 0 28

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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Hey, the first 2 images are the instruction for the excersise. The handwritten image is the solution. I dont understand the red marked area. For me it absolutly does not make any sense. For context its to prove that the given (first  image) is a dot product.

<x,y>A:=x^tAY for x,y element of R^2
 
5
1
-1 a
^-( i !) " - ( 3 )
A=
12
32
Transcribed Image Text:5 1 -1 a ^-( i !) " - ( 3 ) A= 12 32
(
1u₁ VS | = lull
>
1
B = (-₁² a)
3
2
hull.
Y>A != XT AY
x² Ay ist ein Chalcoprodulst auf R².
y>
A
So gibt <xx) ₁ = x² 4 x = (x₂ x2) (* 2) (x²)
= (x₂ x ₂) (5x₁ + x2 ) = 5x² + 2x₂x₂ + 2+ ²/²
1
2
2
+
1
2
x = d
2
2
2
= 4 x ₂² + x ² + (x₂ + x₂ ₁² = 0
zo
=8
28-
2
2
0 = 4 x ²² + x ²₂² + (x ₁₂² x ₂) ² implisiert
+
Transcribed Image Text:( 1u₁ VS | = lull > 1 B = (-₁² a) 3 2 hull. Y>A != XT AY x² Ay ist ein Chalcoprodulst auf R². y> A So gibt <xx) ₁ = x² 4 x = (x₂ x2) (* 2) (x²) = (x₂ x ₂) (5x₁ + x2 ) = 5x² + 2x₂x₂ + 2+ ²/² 1 2 2 + 1 2 x = d 2 2 2 = 4 x ₂² + x ² + (x₂ + x₂ ₁² = 0 zo =8 28- 2 2 0 = 4 x ²² + x ²₂² + (x ₁₂² x ₂) ² implisiert +
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