SOLUTION: Consider the ordered bases B={[−5 0; -1 5],[4 0; 1 −4]} and C={[−1 0; -4 1],[4 0; 1 -4]} for the vector space V of lower triangular 2×2 matrices with zero trace.
a. Find
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-> SOLUTION: Consider the ordered bases B={[−5 0; -1 5],[4 0; 1 −4]} and C={[−1 0; -4 1],[4 0; 1 -4]} for the vector space V of lower triangular 2×2 matrices with zero trace.
a. Find
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Question 1159933: Consider the ordered bases B={[−5 0; -1 5],[4 0; 1 −4]} and C={[−1 0; -4 1],[4 0; 1 -4]} for the vector space V of lower triangular 2×2 matrices with zero trace.
a. Find the transition matrix from C to B. Hint: use the standard basis.
b. Find the coordinates of M in the ordered basis B if the coordinate vector of M in C is [M]C=[−3 −2].
c. Find M. Answer by ikleyn(52786) (Show Source):
