📚 Find a basis for the row and column space of a matrix

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Q1. Find a basis for the row space and column space of the matrix below.

📖 Theorem: If a matrix R is in row-echelon form, then the row vectors with the leading 1’s (i.e., the nonzero row vectors) form a basis for the row space of R, and the column vectors that contain the leading 1’s of the row vectors form a basis for the column space of R.

Q2. Find a basis for the row space and column space of the matrix below.