MATH 0520 Final: MATH 052 Brown Finalsol
Document Summary
The fourth and seventh columns of the matrix. 0 form a basis for the column space of a. Find a solution of the equation ax = b, where b = Note: the large matrix size is supposed to be a clue that this problem is not at all computationally intensive. Because the fourth and seventh columns span the column space of the matrix, we can nd an appropriate linear combination of them which is equal to b. Since this linear combination has to work for the top two entries (as well as the rest of them), we can solve(cid:20) 4 3. 17 (cid:21) to nd that the appropriate weights are = 1 and = 2. Every row operation which transforms a matrix a to a matrix a has an inverse row operation which transforms a back to a. For example, to undo scaling row j by c, we can scale row j by 1 c .
