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Note that Sage relies on other systems for its computations. For examples, matrices over RDF are handled by openblas, matrices over ZZ are handled by flint. So, in each case, we should see if there are compilaton options that allow that system to use all your cores. It will also depend on the method used, since some algorithms are more parallelisable than others. Hence, to provide a meanongful answr, it is necessary to know:

If M is your matrix, what is the answer of:

sage: parent(M)
sage: type(M)

and what are the methods that you want to run intensively ?

Note that, in the tests i just quickly did, while i am compiling Sage, i could only see one core work in various situations with various backends. But it does not means that there is nothing to do, it might be possible to allow some parallelism at compulation time.

Note that Sage relies on other systems for its computations. For examples, example, matrices over RDF are handled by openblas, matrices over ZZ are handled by flint. So, in each case, we should see if there are compilaton options that allow that system to use all your cores. It will also depend on the method used, since some algorithms are more parallelisable than others. Hence, to provide a meanongful meaningful answr, it is necessary to know:

If M is your matrix, what is the answer of:

sage: parent(M)
sage: type(M)

and what are the methods that you want to run intensively ?

Note that, in the tests i just quickly did, while i am compiling Sage, i could only see one core work in various situations with various backends. But it does not means that there is nothing to do, it might be possible to allow some parallelism at compulation time.