A 1:12), 4, 3) A [,1] [,2] [,3] [1,] 1 5 9 [2,] 2 6 10 [3,] 3 7 11 [4,] 4 8 12 B 4:15), 4, 3, byrow = T) B [,1] [,2] [,3] [1,] 4 5 6 [2,] 7 8 9 [3,] 10 11 12 [4,] 13 14 15 C 12:1), 3, 4) C [,1] [,2] [,3] [,4] [1,] 12 9 6 3 [2,] 11 8 5 2 [3,] 10 7 4 1 set.seed(2017-03-25) D 16), 4, 4) D [,1] [,2] [,3] [,4] [1,] 1.102578 -0.6131956 0.1425635 -0.2969721 [2,] 1.117896 -0.3462673 -0.6942374 1.9589066 [3,] -1.818102 0.2779588 1.3619621 -2.4309599 [4,] -0.194414 0.5345426 1.2761510 0.4797144 A + B [,1] [,2] [,3] [1,] 5 10 15 [2,] 9 14 19 [3,] 13 18 23 [4,] 17 22 27 A + 1 [,1] [,2] [,3] [1,] 2 6 10 [2,] 3 7 11 [3,] 4 8 12 [4,] 5 9 13 A - B [,1] [,2] [,3] [1,] -3 0 3 [2,] -5 -2 1 [3,] -7 -4 -1 [4,] -9 -6 -3 A * B [,1] [,2] [,3] [1,] 4 25 54 [2,] 14 48 90 [3,] 30 77 132 [4,] 52 112 180 A %*% C [,1] [,2
] [,3] [,4] [1,] 157 112 67 22 [2,] 190 136 82 28 [3,] 223 160 97 34 [4,] 256 184 112 40 A [,1] [,2] [,3] [1,] 1 5 9 [2,] 2 6 10 [3,] 3 7 11 [4,] 4 8 12 t(A) [,1] [,2] [,3] [,4] [1,] 1 2 3 4 [2,] 5 6 7 8 [3,] 9 10 11 12 solve(D, A) [,1] [,2] [,3] [1,] -3.773014 -9.498001 -15.22299 [2,] -8.886507 -26.314422 -43.74234 [3,] 5.011581 12.710546 20.40951 [4,] 3.379416 8.336332 13.29325 eigen(D) $values [1] 0.816276+1.747713i 0.816276-1.747713i 1.337370+0.000000i [4] -0.371935+0.000000i $vectors [,1] [,2] [,3] [1,] -0.0732813+0.2308877i -0.0732813-0.2308877i 0.76894475+0i [2,] 0.4790390+0.1347590i 0.4790390-0.1347590i -0.06847426+0i [3,] -0.7411992+0.0000000i -0.7411992+0.0000000i -0.24761647+0i [4,] -0.0567989+0.3756063i -0.0567989-0.3756063i -0.58542406+0i [,4] [1,] -0.3347318+0i [2,] -0.8938356+0i [3,] 0.1521302+0i [4,] 0.2566497+0i
|