Let U = span{(1,1, 1), (1, 1, 0)} C R, V = span{(1,2,0), (1, –1,0)} C R, and let W = span{(1,1,1), (1, 1,0), (1, 2, 0), (1, –1, 0)}. Find the dimensions of U, V, W,U n V and verify that dim(W) :...

Let U = span{(1,1, 1), (1, 1, 0)} C R*, V = span{(1,2,0), (1, –1,0)} C<br>R*, and let W = span{(1,1,1), (1, 1,0), (1, 2, 0), (1, –1, 0)}.<br>Find the dimensions of U, V, W,U n V and verify that dim(W) :<br>dim(U) + dim(V) – dim(U n V).<br>%3D<br>You must explain your reasoning clearly at cach stage of the calcula-<br>tion.<br>

Extracted text: Let U = span{(1,1, 1), (1, 1, 0)} C R*, V = span{(1,2,0), (1, –1,0)} C R*, and let W = span{(1,1,1), (1, 1,0), (1, 2, 0), (1, –1, 0)}. Find the dimensions of U, V, W,U n V and verify that dim(W) : dim(U) + dim(V) – dim(U n V). %3D You must explain your reasoning clearly at cach stage of the calcula- tion.

Jun 05, 2022

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Let U = span{(1,1, 1), (1, 1, 0)} C R, V = span{(1,2,0), (1, –1,0)} C R, and let W = span{(1,1,1), (1, 1,0), (1, 2, 0), (1, –1, 0)}. Find the dimensions of U, V, W,U n V and verify that dim(W) :...

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Let U = span{(1,1, 1), (1, 1, 0)} C R*, V = span{(1,2,0), (1, –1,0)} C R*, and let W = span{(1,1,1), (1, 1,0), (1, 2, 0), (1, –1, 0)}. Find the dimensions of U, V, W,U n V and verify that dim(W) :...

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Let U = span{(1,1, 1), (1, 1, 0)} C R, V = span{(1,2,0), (1, –1,0)} C R, and let W = span{(1,1,1), (1, 1,0), (1, 2, 0), (1, –1, 0)}. Find the dimensions of U, V, W,U n V and verify that dim(W) :...