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 vectors is orthogonal. Then construct an orthonormal basis for R3 (THREE-DIMENSIONAL VECTOR) 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-1C. 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).

Answered: Image /qna-images/answer/5301f131-1912-4021-8be9-d12d34bb43b7.jpg

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).

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.4: The Singular Value Decomposition

Problem 29EQ

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