Let S denote the set of all 4 4 matrices such that the entries in each row and each
Chapter 4, Problem 35(choose chapter or problem)
Let S denote the set of all 4 4 matrices such that the entries in each row and each column add up to zero. (a) Show that S is a subspace of M4(R). (b) Find a basis and the dimension of S. (c) Extend the basis you constructed in part (b) to a basis for M4(R).
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