1. Given U1 = 9 u2 = U3 = 0 (a) [4 points) Prove that ui, u2 and uz are linearly independent. (b) [8 points) Find all un
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1. Given U1 = 9 u2 = U3 = 0 (a) [4 points) Prove that ui, u2 and uz are linearly independent. (b) [8 points) Find all un
1. Given U1 = 9 u2 = U3 = 0 (a) [4 points) Prove that ui, u2 and uz are linearly independent. (b) [8 points) Find all unit vectors P E R4 (i.e., length/norm of p is 1) so that p is orthogonal to ui, р u2 and u3. (c) [8 points) Let S = {u1, U2, U3} be a basis for a subspace V of R4. Transform S to an orthogonal basis for V by the Gram-Schmidt process.
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