The set B={[−1010],[00−11],[0002]} is a basis of the space of upper-triangular 2×2 matrices. Find the coordinates of M=[−60−4−5] with respect to this basis.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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 The set

B={[−1010],[00−11],[0002]}

is a basis of the space of upper-triangular 2×2 matrices.

Find the coordinates of M=[−60−4−5] with respect to this basis.  

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