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Find the vector v in R^2 whose coordinate vector with respect to the basis S = {(-1, 8), (8, 9)} is v(s) = (-3, 7). This question accepts answers that are in a form like "(-1, 3)" or (3, 7, 3z)". The entries can be numbers or formulas. State the dimension of the set of all 5 times 5 upper triangular matrices. State only the final numerical answer, e.g. 12. This question accepts numbers or formulas.
Show transcribed image text Find the vector v in R^2 whose coordinate vector with respect to the basis S = {(-1, 8), (8, 9)} is v(s) = (-3, 7). This question accepts answers that are in a form like "(-1, 3)" or (3, 7, 3z)". The entries can be numbers or formulas. State the dimension of the set of all 5 times 5 upper triangular matrices. State only the final numerical answer, e.g. 12. This question accepts numbers or formulas.