4. Gegeben sei die Matrix 2 B = 1 -1 | und die lineare Abbildung f : R² → R² mit ƒ(x) = Bx. (a) Bestimmen Sie die Eigenwerte der Matrix B über R. (b) Ermitteln Sie die Dimension von Kern(f).
4. Gegeben sei die Matrix 2 B = 1 -1 | und die lineare Abbildung f : R² → R² mit ƒ(x) = Bx. (a) Bestimmen Sie die Eigenwerte der Matrix B über R. (b) Ermitteln Sie die Dimension von Kern(f).
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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Question
only handwritten solution accepted
Given is the matrix
B ...
The linear f: ...
Task a)
Get the eigen value of the matrix B in R
Task b)
Get the dimensions of kernel f
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