can SAGE show step by step solutions

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Note that the fast computations are outsourced to some optimized libraries, not directly by Sage, so in general the answer is "no".

However, in some situations, some people wrote pedagogical versions of well-known algorithms for pedagogical reasons, see for example

• http://doc.sagemath.org/html/en/refer...
• https://ask.sagemath.org/question/884...