Linear Algebra - Orthogonal Projections?

rsingh628

New member
Joined
May 31, 2021
Messages
6
Hello all, I am hoping for guidance on these linear algebra problems.
For the first one, I'm haing issues starting...does the orthogonality principle apply here?
For the second one, is the intent to find v such that v(transpose)u = 0? So, could v = [3, 1, 0](transpose) work?

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rsingh628

New member
Joined
May 31, 2021
Messages
6
May I receive guidance on the projection problem? I'm thinking that the first step is to use Gran-Schmidt to find an orthogonal basis for (1, e^t, t) using the standard inner product on the interval [0,1], which is a bit messy. Then, what should my next step be?
 
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