- Find a basis S for the subspce W of R3
-Orthogonalize the basis S to an orthogonal basis B of W
-Normalize the set B
-Find the point in W closest to the point (1, 0, 3).
Find A Basis S For The Subspce W Of R3 Orthogonalize The Basis S To An Orthogonal Basis B Of W Normalize The Set B 1 (15.67 KiB) Viewed 24 times
3. Let W = {(x,y, 2) 4.c + 2y - 32 = 0}. (a) Find a basis S for the subspce W of R. (b) Orthogonalize the basis S to an orthogonal basis B of W. (c) Normalize the set B. (d) Find the point in W closest to the point (1,0,3). (Hint: Find the projection on W of the position vector of the point (1,0,3))
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