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- Find the projection of the vector v=[102]T onto the subspace S=span{[011],[011]}.Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector space?Take this test to review the material in Chapters 4 and 5. After you are finished, check your work against the answers in the back of the book. Prove that the set of all singular 33 matrices is not a vector space.