Exercise 12. Show that for subspaces of W₁ and W₂ of a finite dimensional vector space dim(W₁ + W₂) = dim(W₁) + dim(W₂)

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Exercise 12 Show That For Subspaces Of W And W Of A Finite Dimensional Vector Space Dim W W Dim W Dim W 1 (38.29 KiB) Viewed 20 times

Exercise 12. Show that for subspaces of W₁ and W₂ of a finite dimensional vector space dim(W₁ + W₂) = dim(W₁) + dim(W₂) – dim(W₁ W₂) Let F be the real vector space of functions F: R → R. Let R[x] be the real vector space of real polynomials in the variable x.