Question

Part1 1. Given x- y+z=-2 x+ y-z=+2 Solve by Gassian Elimination not using matrices then using matrices. 1 Compute A transpose P A and A transpose* P *L 3. If m 5 and n = (a) How many rows are in A? (b) How many columns are in A? (c) How many rows are in P? (d) How many rows are in L? (e) What is the size of the system of equations that will be solved? (f) How many rows are in V? 4. Why is P diagonal? 5. Why is a term in A zero? 6. Why are diagonals in P never zero? Part 2 Given the following BM A elev. 100.00 A - 1-+1.02 ft. (err BM B elev. - 104.00 1 - B = +3.02 ft. (err BM C elev. = 98.00 C - 1 = +3.04 ft. (err est. .04 ft.) (A to 1) est. .02 ft.) (1 to B) 4. Why is P diagonal? 5. Why is a term in A zero? 6. Why are diagonals in P never zero? Part2 Given the following BM A elev. = 100.00 A- 1 = +1.02 ft. (err BM B elev. = 104.00 1 - B +3.02 ft. (err BM C elev. 98.00 C - 1 = +3.04 ft. (err est. .04 ft.) (A to 1) est. .02 ft.) (1 to B) est. .08 ft. (C to 1) 1. Compute the solution for 1 based on equal weighting. 2. Compute the solution for 1 based on the given error estimates 3a. Are the two solutions really different? 3b. For #2, compute the residuals. 3c. For #2, explain if the error estimates were reasonable or not. For #2, compute the standard error of unit weight. 5. In the above example, where does the error elevations end up? 6. Perform #2 with an error estimate on C-1 of in the benchmark .005 ft. 7, comment on the differences in #6 and #2.

Answer 1

42-2 2.3

<l 2- 6 2. a '3木