Computing...

Input:

(6 | -7\n0 | 3)


Dimensions:

2 (rows) × 2 (columns)


Matrix plot:



Trace:

9


Determinant:

18


Inverse:

1\/18(3 | 7\n0 | 6)


Characteristic polynomial:

lambda^2 - 9 lambda + 18


Diagonalization:

M = S.J.S^(-1)\nwhere\nM = (6 | -7\n0 | 3)\nS = (7 | 1\n3 | 0)\nJ = (3 | 0\n0 | 6)\nS^(-1) = (0 | 1\/3\n1 | -7\/3)


Condition number:

7.22222

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