Computing...

Input:

(1 | 2\n3 | 4).(-1 | 1\n0 | 2)


Result:

(-1 | 5\n-3 | 11)


Dimensions:

2 (rows) × 2 (columns)


Matrix plot:



Trace:

10


Determinant:

4


Inverse:

1\/4(11 | -5\n3 | -1)


Diagonalization:

M = S.J.S^(-1)\nwhere\nM = (-1 | 5\n-3 | 11)\nS = (2 + sqrt(7\/3) | 2 - sqrt(7\/3)\n1 | 1)\nJ = (5 - sqrt(21) | 0\n0 | 5 + sqrt(21))\nS^(-1) = (sqrt(3\/7)\/2 | 1\/2 - sqrt(3\/7)\n-sqrt(3\/7)\/2 | 1\/2 + sqrt(3\/7))


Condition number:

56

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