Thread: prove linear independent

Let U and W be orthogonal subspaces
1) prove that U W = {0}
2) if { }is a linearly independent subset of U and { }is a linearly independent subset of W, prove that { } is a linearly independent set in V.

Originally Posted by wopashui

Let U and W be orthogonal subspaces
1) prove that U W = {0}
2) if { }is a linearly independent subset of U and { }is a linearly independent subset of W, prove that { } is a linearly independent set in V.

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Tonio