Dave is helping his grandmother make trail mix. His grandmother asks him to add 1/5 cup of fruit for every 1/3 cup of nuts.
1 answer:
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You're trying to find constants 
such that 
. Equivalently, you're looking for the least-square solution to the following matrix equation.
To solve
, multiply both sides by the transpose of 
, which introduces an invertible square matrix on the LHS.
Computing this, you'd find that
which means the first choice is correct.
To solve
Computing this, you'd find that
which means the first choice is correct.