-3 Let Pi = P2 = nį and -1 4 2 3 2 3 let Hj be the hyperplane in R' through p, with n2 5 normal nj, and let H2 be the hyperplane through p2 with normal n2. Give an explicit description of H1 N H2. [Hint: Find a point p in H1 N H2 and two linearly independent vectors vi and v2 that span a subspace parallel to the 2- dimensional flat Hj N H2.] ||

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Related questions
Question
-3
Let Pi =
P2 =
nį
and
-1
4
2
3
2
3
let Hj be the hyperplane in R' through p, with
n2
5
normal nj, and let H2 be the hyperplane through p2 with
normal n2. Give an explicit description of H1 N H2. [Hint:
Find a point p in H1 N H2 and two linearly independent
vectors vi and v2 that span a subspace parallel to the 2-
dimensional flat Hj N H2.]
||
Transcribed Image Text:-3 Let Pi = P2 = nį and -1 4 2 3 2 3 let Hj be the hyperplane in R' through p, with n2 5 normal nj, and let H2 be the hyperplane through p2 with normal n2. Give an explicit description of H1 N H2. [Hint: Find a point p in H1 N H2 and two linearly independent vectors vi and v2 that span a subspace parallel to the 2- dimensional flat Hj N H2.] ||
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