Unformatted text preview: span W thus they form a basis for W . c: y = c 1 u 1 + c 2 u 2 , where c 1 = y.u 1 u 1 .u 1 =1 7 and c 2 = y.u 2 u 2 .u 2 =2 7 . Then 1 72 7 is the coordinate vector of y relative to B . d: b y = y.u 1 u 1 .u 1 u 1 + y.u 2 u 2 .u 2 u 2 = 3 74 71 71 7 . y = b y + z , where b y ∈ W and z ∈ W ⊥ , and z = yb y = 11 73 7 15 7 8 7 . f: It is k yb y k = k z k = 1 7 √ 11 2 + 3 2 + 15 2 + 8 2 . g: Solve the system u 1 .x = 0 , u 2 .x = 0 , where , x = [ x 1 x 2 x 3 x 4 ] T ∈ R 4 . 1...
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 Fall '10
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 Math, Linear Algebra, Algebra, coordinate vector

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