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Math Help - prove linear independent

  1. #1
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    prove linear independent

    Let U and W be orthogonal subspaces
    1) prove that U \bigcap W = {0}
    2) if { u_1,u_2,....u_m }is a linearly independent subset of U and { w_1,w_2,...w_n }is a linearly independent subset of W, prove that { u_1,u_2,....,u_m, w_1,w_2,...,w_n} is a linearly independent set in V.
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  2. #2
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    Quote Originally Posted by wopashui View Post
    Let U and W be orthogonal subspaces
    1) prove that U \bigcap W = {0}
    2) if { u_1,u_2,....u_m }is a linearly independent subset of U and { w_1,w_2,...w_n }is a linearly independent subset of W, prove that { u_1,u_2,....,u_m, w_1,w_2,...,w_n} is a linearly independent set in V.

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