Computing...

Input:

(2 | 4 | 4\n1 | 2 | 2\n0 | 7 | 3)


Dimensions:

3 (rows) × 3 (columns)


Matrix plot:



Trace:

7


Determinant:

0


Matrix rank:

2


Nullity:

1


Diagonalization:

M = S.J.S^(-1)\nwhere\nM = (2 | 4 | 4\n1 | 2 | 2\n0 | 7 | 3)\nS = (-8 | 1\/7 (1 - sqrt(57)) | 1\/7 (1 + sqrt(57))\n-3 | 1\/14 (1 - sqrt(57)) | 1\/14 (1 + sqrt(57))\n7 | 1 | 1)\nJ = (0 | 0 | 0\n0 | 1\/2 (7 - sqrt(57)) | 0\n0 | 0 | 1\/2 (7 + sqrt(57)))\nS^(-1) = (-1\/2 | 1 | 0\n7\/4 + 49\/(4 sqrt(57)) | -7\/38 (19 + 3 sqrt(57)) | 1\/114 (57 + sqrt(57))\n7\/4 - 49\/(4 sqrt(57)) | 7\/38 (-19 + 3 sqrt(57)) | 1\/2 - 1\/(2 sqrt(57)))


Condition number:

infinity

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