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skypug230Lv1
6 Nov 2019
This is linear algebra
Assume that u_1, ..., u_4 is an orthogonal basis for R^4. An orthogonal basis for a subspace W of R^n is a basis for W where each pair of distinct vectors from the basis is orthogonal, that is, u^t_i u_j = 0 whenever i notequalto j. Given the following vectors, u_1 = [0 1 -4 -1]m u_2 = [3 5 1 1], u_3 = [1 0 1 -4], u_4 = [5 -3 -1 1] Write x as the sum of two vectors, one in Span {u_1, u_2, u_3} and the other in Span {u_4}. Show transcribed image text
This is linear algebra
Assume that u_1, ..., u_4 is an orthogonal basis for R^4. An orthogonal basis for a subspace W of R^n is a basis for W where each pair of distinct vectors from the basis is orthogonal, that is, u^t_i u_j = 0 whenever i notequalto j. Given the following vectors, u_1 = [0 1 -4 -1]m u_2 = [3 5 1 1], u_3 = [1 0 1 -4], u_4 = [5 -3 -1 1] Write x as the sum of two vectors, one in Span {u_1, u_2, u_3} and the other in Span {u_4}.
Show transcribed image text Nestor RutherfordLv2
22 Mar 2019