A. Demuestra que B={1+x,x+x,1+r} es una base para P2 espacio de polinomios de segundo grado). 2 B. Obtén el polinomio característico, los eigenvalores y eigenvectores de la matriz 2 -1 C. Determina si el siguiente conjunto de vectores es ortogonal: [ -3 1 2]T, [2 4 1]T [1 -1 2]T. Después, construye una base ortonormal para R3 (Vector de tres dimensiones con entradas reales).
A. Demuestra que B={1+x,x+x,1+r} es una base para P2 espacio de polinomios de segundo grado). 2 B. Obtén el polinomio característico, los eigenvalores y eigenvectores de la matriz 2 -1 C. Determina si el siguiente conjunto de vectores es ortogonal: [ -3 1 2]T, [2 4 1]T [1 -1 2]T. Después, construye una base ortonormal para R3 (Vector de tres dimensiones con entradas reales).
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
A)Show that B is a basis for P2 second-degree polynomial space
B)Obtain the characteristic polynomial, the eigenvalues and eigenvectors of the following matrix
C)Determine whether the following set of
![A. Demuestra que B={1+x,x+x,1+r}
es una base para P2 espacio de polinomios de segundo grado).
B. Obtén el polinomio característico, los eigenvalores y eigenvectores de la matriz
-1
C. Determina si el siguiente conjunto de vectores es ortogonal: [ -3 1 2]T, [2 4 1]T [1 -1 2]T. Después,
construye una base ortonormal para R3 (Vector de tres dimensiones con entradas reales).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d3b999f-40bc-4397-b918-1b796d12487f%2F5301f131-1912-4021-8be9-d12d34bb43b7%2Fswdlc5_processed.png&w=3840&q=75)
Transcribed Image Text:A. Demuestra que B={1+x,x+x,1+r}
es una base para P2 espacio de polinomios de segundo grado).
B. Obtén el polinomio característico, los eigenvalores y eigenvectores de la matriz
-1
C. Determina si el siguiente conjunto de vectores es ortogonal: [ -3 1 2]T, [2 4 1]T [1 -1 2]T. Después,
construye una base ortonormal para R3 (Vector de tres dimensiones con entradas reales).
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