Determine which of the following subsets of M 22 form subspaces. (a) The subset having

Chapter 4, Problem 8

(choose chapter or problem)

Determine which of the following subsets of M 22 form subspaces. (a) The subset having diagonal elements nonzero. (b) The subset of matrices whose ( 1, 2) element is 0. (For example [ ] would be such a matrix.) ( c) The subset of matrices of the form [ a b ] . -b c (d) The subset of 2 X 2 matrices whose determinants are zero.

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