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Tag Archives: linear algebra
Invariant Subspaces
Let M be a matrix, and suppose $v_1, \ldots, v_n$ for a basis for a linearly independent subspace of M. This means $$ Mv_1 = a_{11}v_1 + a_{12}v_2 + \ldots + a_{1n}v_n \\ Mv_2 = a_{21}v_1 + a_{22}v_2 + \ldots … Continue reading