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For creating random matrices, you should have a look at http://doc.sagemath.org/html/en/reference/matrices/sage/matrix/constructor.html#sage.matrix.constructor.random_matrix

For eigenvalues, you should have a look at: http://doc.sagemath.org/html/en/constructions/linear_algebra.html#eigenvectors-and-eigenvalues

To work with floating-point real numbers, you should search for "real double field".

Please do not hesitate to ask for more with concrete examples if there is something unclear.

For creating random matrices, you should have a look at http://doc.sagemath.org/html/en/reference/matrices/sage/matrix/constructor.html#sage.matrix.constructor.random_matrix

For eigenvalues, you should have a look at: http://doc.sagemath.org/html/en/constructions/linear_algebra.html#eigenvectors-and-eigenvalues

To work with floating-point real numbers, you should search for "real double field".

Please do not hesitate to ask for more with (by providing concrete examples examples) if there is something unclear.

For creating random matrices, you should have a look at http://doc.sagemath.org/html/en/reference/matrices/sage/matrix/constructor.html#sage.matrix.constructor.random_matrix

For computing eigenvalues, you should have a look at: http://doc.sagemath.org/html/en/constructions/linear_algebra.html#eigenvectors-and-eigenvalues

To work with floating-point real numbers, you should search for "real double field".

Please do not hesitate to ask for more (by providing concrete examples) if there is something unclear.