A square matrix is called strictly lower triangular if all entries on or above the main diagonal

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A square matrix is called strictly lower triangular if all entries on or above the main diagonal are 0. Prove that the space of strictly lower triangular matrices forms a subspace of the vector space of all n × n matrices.
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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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