Consider the vector space M 22 of real 2 X 2 matrices. Let Vi be the set of matrices of
Chapter 4, Problem 18(choose chapter or problem)
Consider the vector space M 22 of real 2 X 2 matrices. Let Vi be the set of matrices of the form [ a b ] and V 2 be -a c the set of matrices of the form [p -p q r ] . (a) Prove that Vi. V 2, and Vi n V 2 are subspaces of M 22. (b) Find bases for Vi. V 2, and Vi n V 2. Give the dimensions of these spaces.
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