## Max Dimension for a linear space of singular matrices

Denote by a vector space of singular () matrices. What is the maximal dimension of such a space.

Denote by a vector space of matrices with rank smaller or equal to . What is the maximal dimension of such a space?

**Answers: **For the first question and for the second question . I will present proofs soon. The first problem is an obvious subcase of the second problem. For a nice proof, look at the answer given in the next link: http://math.stackexchange.com/questions/66877/max-dimension-of-a-subspace-of-singular-n-times-n-matrices

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Categories: Higher Algebra, Linear Algebra
linear

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