Statistics Solutions

[Solution Library] All vectors are in R n . Check the true statements below: _ A. If x is orthogonal to every vector in a subspace W, then x is in W┴ _ B. For

Question: All vectors are in R n . Check the true statements below:

_ A. If x is orthogonal to every vector in a subspace W, then x is in W┴

_ B. For any scalar c, ║c v ║= c║ v ║.

_ C. If ║ u ║ 2 +║ v ║ 2 = ║ u + v ║ 2 , then u and v are orthogonal.

_ D. For an m x n matrix A, vectors in the null space of A are orthogonal to vectors in the row space of A.

_ E. u · v - v · u = 0.

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