Page 366 - 35Linear Algebra

366 Sample Final Exam

Then
   
34 0 10 34
T
T
M M =  0 10 0  and M V =  −6  .
10 0 4 10
So
   2   
34 0 10 34 1 0 1 1 0 0 1
5
0 10 0 −6 ∼ 0 10 0 −6 ∼ 0 1 0 − 3
     5 
10 0 4 10 0 0 − 18 0 0 0 1 0
5
3
The least squares solution is a = 1, b = − and c = 0.
5
3
2
(b) The Captain predicts y(2) = 1.2 − .2 + 0 = 14 .
5 5
18.

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