Answers to assignment 5 symmetric S[4,4] c1 c2 c3 c4 c1 18.833333 c2 -.33333333 11.333333 c3 -43.333333 -.66666667 157.33333 c4 -14.833333 -18.666667 43.333333 62.833333 symmetric C[4,4] c1 c2 c3 c4 c1 3.7666667 c2 -.06666667 2.2666667 c3 -8.6666667 -.13333333 31.466667 c4 -2.9666667 -3.7333333 8.6666667 12.566667 symmetric R[4,4] c1 c2 c3 c4 c1 1 c2 -.02281583 1 c3 -.79606427 -.01578772 1 c4 -.43120135 -.69950833 .43582955 1 determinants determinant of S = 229312 determinant of C = 366.8992 determinant of R = .10867536 eigenvalues and eigenvectors val1[1,4]: eigenvalues S e1 e2 e3 e4 r1 186.95557 53.130987 6.9020295 3.3447502 vec1[4,4]: eigenvectors S e1 e2 e3 e4 c1 -.26234205 .0568214 .86977755 .4140471 c2 -.04020873 -.37920143 -.38700488 .83953366 c3 .89801005 -.33647342 .28268041 .02133964 c4 .35091005 .86009491 -.11749905 .35113084 val2[1,4]: eigenvalues C e1 e2 e3 e4 r1 37.391113 10.626197 1.3804059 .66895004 vec2[4,4]: eigenvectors C e1 e2 e3 e4 c1 -.26234205 .0568214 .86977755 .4140471 c2 -.04020873 -.37920143 -.38700488 .83953366 c3 .89801005 -.33647342 .28268041 .02133964 c4 .35091005 .86009491 -.11749905 .35113084 val3[1,4]: eigenvalues R e1 e2 e3 e4 r1 2.2380588 1.3851292 .20938862 .16742343 vec3[4,4]: eigenvectors R e1 e2 e3 e4 c1 -.54052373 -.41881961 .5777944 .44562076 c2 -.31189314 .71878789 -.21916178 .58140756 c3 .54771082 .39379639 .73346656 .08345094 c4 .55728774 -.39097123 -.28310517 .6755911