379
7.1 SOLUTIONS
Solucionario de Algebra lineal y sus aplicaciones 4a Edicion David C. infraestructuraitblog.blogspot.com. Solution manual / Answer to Exercises for Linear Algebra and Its Applications Solucionario/ Respuesta a los ejercicios para Algebra Lineal y sus aplicaciones Edicion/Edition: Third / 3era Autor/author: David C. Lay LINK DE DESCARGA/LINK TO DOWNLOAD.
Notes: Students can profit by reviewing Section 5.3 (focusing on the Diagonalization Theorem) before working on this section. Theorems 1 and 2 and the calculations in Examples 2 and 3 are important for the sections that follow. Note that symmetric matrix means real symmetric matrix, because all matrices in the text have real entries, as mentioned at the beginning of this chapter. The exercises in this section have been constructed so that mastery of the Gram-Schmidt process is not needed.
Theorem 2 is easily proved for the 2 2 case:
If ,a b
Descarga el solucionario de Algebra lineal y sus aplicaiones 4a Edicion de David C. Solucionario Algebra Lineal David C. Libro de Algebra Lineal y sus Aplicaciones David C. Libro de Calculo Varias Variables James Stewart 6t. Solucionario Raymond Chang 10ma edicion.
Ac d
= then ( )2 21 ( ) 4 .2 a d a d b = + + If b = 0 there is nothing to prove. Otherwise, there are two distinct eigenvalues, so A must be diagonalizable.
In each case, an eigenvector for is .db
1. Since 3 5
,5 7
TA A = = the matrix is symmetric.
Algebra Lineal David C Lay Solucionario Y
2. Since 3 5
,5 3
TA A
= the matrix is not symmetric.
3. Since 2 2
Solucionario Algebra Lineal David C Lay 3ra Edicion
,4 4
TA A = the matrix is not symmetric.
4. Since 0 8 38 0 2 ,3 2 0
TA A
= =
the matrix is symmetric.
5. Since 6 2 00 6 2 ,0 0 6
TA A
=
the matrix is not symmetric.
6. Since A is not a square matrix TA A and the matrix is not symmetric.