In matrix equation [A]{X} = {R},\(\left[ {\rm{A}} \right] = \left[ {\begin{array}{*{20}{c}} 4&8&4\\ 8&{16}&{ - 4}\\ 4&{ - 4}&{15} \end{array}} \right],\;\left\{ X \right\} = \left\{ {\begin{array}{*{20}{c}} 2\\ 1\\ 4 \end{array}} \right\}\;and\;\left\{ R \right\} = \left\{ {\begin{array}{*{20}{c}} {32}\\ {16}\\ {64} \end{array}} \right\}.\)One of the eigenvalues of matrix [A] is

In matrix equation [A]{X} = {R},\(\left[ {\rm{A}} \right] = \left[ {\b

1.	In matrix equation [A]{X} = {R},\(\left[ {\rm{A}} \right] = \left[ {\begin{array}{{20}{c}} 4&8&4\\ 8&{16}&{ - 4}\\ 4&{ - 4}&{15} \end{array}} \right],\;\left\{ X \right\} = \left\{ {\begin{array}{{20}{c}} 2\\ 1\\ 4 \end{array}} \right\}\;and\;\left\{ R \right\} = \left\{ {\begin{array}{*{20}{c}} {32}\\ {16}\\ {64} \end{array}} \right\}.\)One of the eigenvalues of matrix [A] is
A.	4
B.	8
C.	15
D.	16
Answer» E.