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In Exercises 21 and 22, all vectors and subspaces are in
Chapter 6, Problem 21E(choose chapter or problem)
QUESTION:
In Exercises 21 and 22, all vectors and subspaces are in Rn. Mark each statement True or False. Justify each answer.
Questions & Answers
QUESTION:
In Exercises 21 and 22, all vectors and subspaces are in Rn. Mark each statement True or False. Justify each answer.
ANSWER:Solution 21E(a)Suppose If a vector z is orthogonal to the vectors in the basisfor , then z is in Hence, the given statement is true.(b)By the orthogonal decomposition theorem, for the vector subspace of , each y in can be written as y=+zHere =, z = y