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If a =#((3),(1))#, b =#((-2),(7))#, c = #((6),(5))# and d=#((0),(-5))#, find:
(a) 3a - 2b
(b) #1/3#a + #1/3b# + #1/3#c
(c) 10a+15b+23d
(d) The scalars r and s such that ra + sc = 9b