Question: In each case, show that V = U W. (a) V= R4, U= span{(l, 1, 0, 0), (0, 1, 1, 0)}, W= span{(0, 1,0,

In each case, show that V = U Š• W.
(a) V= R4, U= span{(l, 1, 0, 0), (0, 1, 1, 0)},
W= span{(0, 1,0, 1), (0, 0, 1, 1)}
(b) V- R4, U = {(tf, b, b) | a, b in R},
W = {{c,d,c,-d) | c,dm R}
(c) V = P3, U = [a + bx | a ,b in R}
W = [ax2 + bx3 | a, b in R]
(d) V = M22,U
In each case, show that V = U Š• W.(a)
In each case, show that V = U Š• W.(a)

b b bin R a, b in R

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