Mathematics Geometry and Topology Analytic Geometry Vector Calculus 86114
Vector Subspaces, Gram-Schmidt, Orthogonal, Basis
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1) Find the closest point to y in the subspace W spanned by v1 and v2.

y=

v1=
v2=

#2) Let y, v1, and v2 be as in exercise #1. Find the distance from y to the subspace of R4 spanned by v1 and v2.

#3) The given set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for W.

Vector Subspaces, Gram-Schmidt and Orthogonal Basis are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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Solution provided by:
Yupei Xiong, PhD
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Education BSc, Peking University MA, Peking University PhD, University of Maryland - College Park Campus Recent Feedback
"thanks" "thank you" "Thank you very much Dr. Xiong, you really help me a lot. If you have a time, would you please also look at #566852, thank you again for your time and help!" "the postfix expression must be like this: 1 2 + 3 4 - * 1 2 + /
and theres some error
Exception in thread "main" java.lang.NumberFormatException: For input string: "3 – 4"
at sun.misc.FloatingDecimal.readJavaFormatString(Unknown Source)
at java.lang.Double.parseDouble(Unknown Source)
at Node.calculate(Node.java:33)
at Node.calculate(Node.java:31)
at Node.calculate(Node.java:28)
at TreeTest.main(TreeTest.java:13)" "thaaaaaaaaanx very much..
but you write(* public static double readGrade(Scanner scanner, String prompt) {
what did u mean from that.?!"