Exercise 1.1.26

What combination c [ 1 2 ]+d [ 3 1 ] produces [ 14 8 ]? Express this question as two equations for the coefficients c and d in the linear combination.

Answers

Two equations come from the two components: c + 3d = 14 and 2c + d = 8. The solution is c = 2 and d = 4. Then 2(1,2) + 4(3,1) = (14,8).

User profile picture
2021-11-20 13:56
Comments