If T : R^2 -----> R^2 is a linear map defined by T(a,b)=(a+b,a-b) what is the matrix of T: 1) using the standard basis of R^2? 2) using the basis (-1,1),(0,-2) of R^2
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Originally Posted by maximus101 If T : R^2 -----> R^2 is a linear map defined by T(a,b)=(a+b,a-b) what is the matrix of T: 1) using the standard basis of R^2? 2) using the basis (-1,1),(0,-2) of R^2 Using the standard basis Then and Remember that the transform of the basis vectors becomes the columns in the matrix representation. This gives the standard matrix as 2 is exactly the same just use the basis given instead of the standard one.
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