MATH 551 Final: MATH 551 KSU Final Exam s06 a
15 Feb 2019
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Use the back of the page as sketch paper. For full credit, show your work in detail. Total 200 pg 1 pg2 pg3 pg4 pg5 pg6 pg7 pg8. Find a basis for row space sr: (4pts). Fina a basis for the column space sc: (2pts). If the eigenvalues of a matrix a m (3, 3) are 0, 3, 5 answer the: a is a singular, b. Is a diagonalizable: c if is, give the diagonalization matrix d=, d. find det(ata) , e. find det(a + 2i) =. Find the spanning vectors of the orthogonal complement s of the subspace. S =span{[1, 1, 1, 1, 1]t, [1, 1, 0, 1, 1]t, [1, 1, 0, 0, 1]t}. page 2: (13 pts). It is known that the functions{1, x, x2, x3} are lineraly independent. Let w be the linear space spanned by these functions. (3pts). For which n is w isomorphic to the space rn? (10 pts).
