Recall that B = {1+2x,3 – x}. (d) Let the vector space P have the inner product (p, q) = 2aobo + 3a,b1 where p= ao +a1x and q = bo + b1x. Show that B is an orthogonal basis for P, but not orthonormal....

Recall that B = {1+2x,3 – x}.<br>(d) Let the vector space P have the inner product (p, q) = 2aobo + 3a,b1 where p= ao +a1x and<br>q = bo + b1x.<br>Show that B is an orthogonal basis for P, but not orthonormal. Transform B into an<br>orthonormal basis for P.<br>

Extracted text: Recall that B = {1+2x,3 – x}. (d) Let the vector space P have the inner product (p, q) = 2aobo + 3a,b1 where p= ao +a1x and q = bo + b1x. Show that B is an orthogonal basis for P, but not orthonormal. Transform B into an orthonormal basis for P.

Jun 04, 2022

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Recall that B = {1+2x,3 – x}. (d) Let the vector space P have the inner product (p, q) = 2aobo + 3a,b1 where p= ao +a1x and q = bo + b1x. Show that B is an orthogonal basis for P, but not orthonormal....

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