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Suppose dim(U) = n, and U = U₁ U2, where dim(U₁) = n₁, and dim (U₂) = n2, for n₁, n₂ ≥ 1. Recall from our previous work
Posted: Tue Jul 12, 2022 12:53 pm
by answerhappygod
- Suppose Dim U N And U U U2 Where Dim U N And Dim U N2 For N N 1 Recall From Our Previous Work 1 (32.02 KiB) Viewed 26 times
Suppose dim(U) = n, and U = U₁ U2, where dim(U₁) = n₁, and dim (U₂) = n2, for n₁, n₂ ≥ 1. Recall from our previous work that every u EU has a unique representation u = ₁+₂, for ₁ € U₁ and ₁ € U₂. With this notation, define a linear transformation II : U →→ U via II(u) = U₁. Exercise 34. Brief answer: • What does the matrix, [II] associated with II look like? ● IfT ≤ L(U,U), what does the matrix [IIT] look like? [TII]?