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Fix some n E N, and let x = (x₁, x2,...,xn) be a tuple of length n, containing only numerical data. We define the symmetric part of x to be the tuple: and the anti-symmetric part of x to be the tuple: x₁ + xn x₂ + xn-1 2 2 X1 Xn X2 - xn-1 2 2 x₂ + x₁), 2 Xn - X1 **-*¹). 2 Define a function symmetric which accepts a tuple x, and returns a list containing two items: the symmetric part of x, followed by the anti- symmetric part of x.

Fix some n E N, and let x = (x₁, x2,...,xn) be a tuple of length n, containing only numerical data. We define the symmetric part of x to be the tuple: and the anti-symmetric part of x to be the tuple: x₁ + xn x₂ + xn-1 2 2 X1 Xn X2 - xn-1 2 2 x₂ + x₁), 2 Xn - X1 **-*¹). 2 Define a function symmetric which accepts a tuple x, and returns a list containing two items: the symmetric part of x, followed by the anti- symmetric part of x.

Advanced Engineering Mathematics
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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Fix some n E N, and let x = (x₁, x2, ..., xn) be a tuple of length n, containing only numerical data. We define the symmetric part of x to be the tuple: and the anti-symmetric part of x to be the tuple: xn x2 (x1 + x^x²+x-1, ³+*¹). xn+x1), 2 2 2 (x₁ - xn, 2 X1 Xn X2 - Xn-1 2 9 xn-x¹). 2 Define a function symmetric which accepts a tuple x, and returns a list containing two items: the symmetric part of x, followed by the anti- symmetric part of x.
Transcribed Image Text:Fix some n E N, and let x = (x₁, x2, ..., xn) be a tuple of length n, containing only numerical data. We define the symmetric part of x to be the tuple: and the anti-symmetric part of x to be the tuple: xn x2 (x1 + x^x²+x-1, ³+*¹). xn+x1), 2 2 2 (x₁ - xn, 2 X1 Xn X2 - Xn-1 2 9 xn-x¹). 2 Define a function symmetric which accepts a tuple x, and returns a list containing two items: the symmetric part of x, followed by the anti- symmetric part of x.
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