- Find The Change Matrix Q From The Basis 1 (108.21 KiB) Viewed 52 times
Find the change matrix Q′ from the basis
-
answerhappygod
- Site Admin
- Posts: 899604
- Joined: Mon Aug 02, 2021 8:13 am
Find the change matrix Q′ from the basis
Find the change matrix Q′ from the basis
Let V be 2-dimensional real vector space, and let in standard basis = ( 6 ), ez = ( i ), the linear map A: V + V be given by ei = e2 2 a A(8) = (* A = 3a b a +36 > (3 3'). Let ef = (1), cs=(4), , es -1 = = i.e. in standard basis {e1, ez} the matrix A of A is: A - and e" = ( 3 ), e), = ( 1 ) be two other bases of V. 1 3 4 Problem 6 (20 points) Find the change matrix Q' from the basis {e1,e2} to the basis {ei, ex}, and by using the formula A' = Q-1 AQ', find the matrix A' of A in the basis {eí, ex}. Problem 7 (20 points) Find the change matrix Q" from the basis {e1,e2} to the basis {eļi, e}. and by using the formula A” = Q"-1 AQ", find the matrix A” of A in the basis {el, e"}. >
Let V be 2-dimensional real vector space, and let in standard basis = ( 6 ), ez = ( i ), the linear map A: V + V be given by ei = e2 2 a A(8) = (* A = 3a b a +36 > (3 3'). Let ef = (1), cs=(4), , es -1 = = i.e. in standard basis {e1, ez} the matrix A of A is: A - and e" = ( 3 ), e), = ( 1 ) be two other bases of V. 1 3 4 Problem 6 (20 points) Find the change matrix Q' from the basis {e1,e2} to the basis {ei, ex}, and by using the formula A' = Q-1 AQ', find the matrix A' of A in the basis {eí, ex}. Problem 7 (20 points) Find the change matrix Q" from the basis {e1,e2} to the basis {eļi, e}. and by using the formula A” = Q"-1 AQ", find the matrix A” of A in the basis {el, e"}. >
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!