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{SECT 0 {PARA 18 "" 0 "" {TEXT -1 29 "Linear Algebra II Section 5.3" }
}{PARA 19 "" 0 "" {TEXT -1 5 "Y G K" }}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 25 "(5-lambda)*(3-lambda)-14;" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 10 "expand(%);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 10 "factor(%);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 13 "with(linalg);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 8 "?matrix;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 
0 33 "A:=linalg[matrix](2,2,[2,3,4,1]);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 15 "eigenvalues(A);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 19 "charpoly(A,lambda);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 47 "B:=linalg[matrix](2,2,[2-lambda,3,4,1-lambda]);" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 7 "det(B);" }}}{EXCHG {PARA 0 ">
 " 0 "" {MPLTEXT 1 0 16 "eigenvectors(A);" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 34 "P:=linalg[matrix](2,2,[3,1,-4,1]);" }{TEXT -1 0 "" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 34 "C:=linalg[matrix](2,2,[-2
,0,0,5]);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "Q:=inverse(P);
" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "evalm(P&*C&*Q);" }
{TEXT -1 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 35 "P1:=linalg[
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"C1:=linalg[matrix](2,2,[5,0,0,-2]);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 16 "Q1:=inverse(P1);" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 18 "evalm(P1&*C1&*Q1);" }{TEXT -1 0 "" }}}{EXCHG {PARA 0 
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