MAT2114 Homework §5.3 Due Date: 29 April 2022 Name: Instructions: Answer the following questions, showing ALL your work and writing neatly. This assignment is due to Canvas by 11:59pm on the date...

just one problem


MAT2114 Homework §5.3 Due Date: 29 April 2022 Name: Instructions: Answer the following questions, showing ALL your work and writing neatly. This assignment is due to Canvas by 11:59pm on the date above. Group work is allowed and encouraged, but each group member must write up their own solutions. 1. In §5.3 WebAssign, Problem #5, you’re asked to find an orthonormal basis for the column space of a 3 × 3 matrix (call it A). (a) Find the corresponding QR-factorization of A. (For an added challenge, can you find a QR-factorization for which det(Q) = 1?) (b) Show that RQ is similar to A. 1