# Linear Algebra questions and answers in August 2023

. (6 points) Let A = 6 8 3 Find a nonzero vector v in /( A), the null space of A, and a nonzero vector w in C(A), the column space of A. U = W =. Let u = (-3, 6, 1), v = (4, 7, 5), w = (6, 33, s + 6... Can you please answer this questions with all the detailed steps?. 5. a. Find the area of the triangle in 3-space that has vertices P(1, -1, 2), Q (0, 3, 4) and R(6, 1, 8). b. Given u = (-1, 2, 4), = ... Find values of a, b, and c. Type only answers in order a, b, and c without typing a, b, and c. Separate answers by a comma, No Space, No Brackets. For example: 2,3,4 [3 Marks] Find Adj(A). Ty... What is the basis for the orthogonal complement of the subspace of R spanned by the vectors. V1 = (1, 3, -3, 5), V2 = (4, 11, 1, 3), V3 = (1, 2, 10, -12) The basis for the row space isWhat is the basi...