Problem:
Define [a,b,c] to mean ca+b​, where cî€ =0. What is the value of
[[60,30,90],[2,1,3],[10,5,15]]?
Answer Choices:
A. 0
B. 0.5
C. 1
D. 1.5
E. 2
Solution:
Notice that the operation has the property that, for any r,a,b, and c,
[ra,rb,rc]=rcra+rb​=[a,b,c].
Thus all three of the expressions [60,30,90],[2,1,3], and [10,5,15] have the same value, which is 1. So [[60,30,90],[2,1,3],[10,5,15]]=[1,1,1]=2.