4. Let S be the subspace of R4 spanned by2-200andX222a. Find orthonormal bases for S and S. Show your work.b. Describe S and S geometrically.c. Find the projection matrix P that projects vectors in R¹ onto S+.

The standard inner product of R4 is defined by<X1,X2>=x1x2+y1y2+z1z2+w1w2For every two vectors…

Answered: 4. Let S be the subspace of R4 spanned…

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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4. Let S be the subspace of R4 spanned by 2 -2 0 0 and X2 2 2 a. Find orthonormal bases for S and S. Show your work. b. Describe S and S geometrically. c. Find the projection matrix P that projects vectors in R¹ onto S+.