Let B = (v1, v2, v3, v4) be a basis for a vector space V. Find the matrix with respect to B of the linear operator T: V -----> V defined by: T(v1) = (v2), T(v2) = v3, T(v3) = v4, T(v4) = v1
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Originally Posted by chadlyter Let B = (v1, v2, v3, v4) be a basis for a vector space V. Find the matrix with respect to B of the linear operator T: V -----> V defined by: T(v1) = (v2), T(v2) = v3, T(v3) = v4, T(v4) = v1 When you are transforming basis vectors the matrix will be Or in your case
Originally Posted by chadlyter Let B = (v1, v2, v3, v4) be a basis for a vector space V. Find the matrix with respect to B of the linear operator T: V -----> V defined by: T(v1) = (v2), T(v2) = v3, T(v3) = v4, T(v4) = v1 The j'th column of the matrix will consist of the coefficients of T(v_j) when expressed as a linear combination of the four basis vectors. For example, , so the first column of the matrix will consist of 0,1,0,0. Thus the matrix will be
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