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December 1st, 2013, 12:19 PM  #1 
Newbie Joined: Sep 2013 Posts: 23 Thanks: 0  Finding the Matrix P for the standard basis and basis B
Consider the orthogonal basis B= {u1= and u2= and let P be the projection onto u1 Find the matrix for P in the standard basis and Find the matrix for P in the basis B I know how u1 and and u2 look, and how they form a right angle at the origin and are in the 1st and second quadrants respectively but other than that I'm confused 
December 1st, 2013, 12:44 PM  #2  
Newbie Joined: Sep 2013 Posts: 23 Thanks: 0  Re: Finding the Matrix P for the standard basis and basis B Quote:
 
December 2nd, 2013, 09:11 AM  #3  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Finding the Matrix P for the standard basis and basis B Quote:
Do you know how to find the matrix representation of a linear transformation in a given basis? Apply the linear transformation to each basis vector, in turn, and write the result as a linear combination of those basis vectors. The coefficients of each vector form the columns of the matrix.  

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