20. Let {u1, uz) be the orthonormal basis obtained by applying the Gram-Schmidt procedure to the basis {1, 12} of Then uz is equal to R2, where r = and r2 = (a) ) (6) (3) () (b) (c) (d) (e) None of the above 21. Which of the following is the equation of the plane passing through the point (2,3, 4) and normal to (a) y -=2 (b) := 4 (c) -z+ 2y + 5: = 0 (d) -z - y = 1 (e) None of the above 22. Which of the following statements about an n x n matrix A is NOT ALWAYS TRUE? (a) A is invertible if and only if its rows span R* (b) The equation Ar = 0 has only the trivial solution if and only if A is invertible (c) A is diagonalizable if and only if it hasn distinct eigenvalues (d) The rank of A is equal to the rank of its reduced row echelon form (e) None of the above these statements are always true

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A: That's easy. Have a great day!!!

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