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- 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.Find all subsets of the set S={(1,3,2),(4,1,1),(2,7,3),(2,1,1)} that form a basis for R3.find an orthonormal basis of the space spanned by the vectors u1= <3, -4, 5> and u2= <-3, 14, -7>