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Check out this Sage Quick Reference: Linear Algebra

For example, for "Maximal lin. indep. set of columns for each matrix" you can use

A.pivot_rows() indices of rows spanning row space

just transpose the matrix below applying it: A.T.pivot_rows()

Check out this Sage Quick Reference: Linear Algebra

For example, for "Maximal lin. indep. set of columns for each matrix" you can use

A.pivot_rows() indices of rows spanning row space

just transpose the matrix below applying it: A.T.pivot_rows()

The same methord can be done for "maximal lin. indep. subset of 𝑆" - just flatten each given matrix and consider them as row-vectors.

Check out this Sage Quick Reference: Linear Algebra

For example, for "Maximal lin. indep. set of columns for each matrix" you can use

A.pivot_rows() indices of rows spanning row space

just transpose the matrix below applying it: A.T.pivot_rows()

The same methord method can be done used for "maximal lin. indep. subset of 𝑆" - just flatten each given matrix and consider them as row-vectors.

Check out this Sage Quick Reference: Linear Algebra

For example, for "Maximal lin. indep. set of columns for each matrix" you can use

A.pivot_rows() indices of rows spanning row space

just transpose the matrix below applying it: A.T.pivot_rows()

The same method can be used for "maximal lin. indep. subset of 𝑆" 𝑆" - just flatten each given matrix and consider them as row-vectors.