Homework SourseIf u 9 2 5 then uuT and uTu SolutionWe have u 9
If u = [9 2 5] then uu^T = [______ ______ ________ ________ _______ ________ _______ _________ _______] and u^Tu = [__________].
![If u = [9 2 5] then uu^T = [______ ______ ________ ________ _______ ________ _______ _________ _______] and u^Tu = [__________].SolutionWe have u = (9,2,5)T .](/WebImages/40/if-u-9-2-5-then-uut-and-utu-solutionwe-have-u-9-1121213-1761596723-0.webp "If u = [9 2 5] then uu^T = [______ ______ ________ ________ _______ ________ _______ _________ _______] and u^Tu = [__________].SolutionWe have u = (9,2,5)T .")
Solution
We have u = (9,2,5)T . Then uT = (9,2,5) so that uuT = = (9,2,5)T . (9,2,5) =
81
18
45
18
4
10
45
10
25
And uTu = (9,2,5) .(9,2,5)T =
110
| 81 | 18 | 45 |
| 18 | 4 | 10 |
| 45 | 10 | 25 |
