We show, step-by-step, how to find the rank and bases of the row, column and null space of a given matrix.
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A Basis
We show, step-by-step, how to prove that a set of vectors is a basis of a given vector space.
A Spanning Set
We show, step-by-step, how to determine if a given set is linearly independent or a spanning set. We provide a proof of our answers.
A Linearly Independent Set
We show, step-by-step, how to determine if a given set is linearly independent or a spanning set. We provide a proof of our answers.
A New Garden
We show, step-by-step, how to find the optimal dimension for a back yard garden.