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.
Answer:
2
Step-by-step explanation:
for the points
Answer:
Step-by-step explanation:
<u>Subtract the values:</u>
- 19 1/12 - 8 5/12 =
- 18 13/12 - 8 5/12 =
- 18 - 8 + 13/12 - 5/12 =
- 10 + 8/12 =
- 10 8/12 =
- 10 2/3 in
Total amount of gas purchased by Ivy's father in the first week = 22.5 gallons
total amount of gas purchased by Ivy's father in the second week = 19.71 gallons
Let us assume the amount of gas purchased by Ivy's father in the third week = x
The total quantity of gas purchased in 3 weeks by Ivy's father = 61.75 gallons
Then
22.5 + 19.71 + x = 61.75
42.21 + x = 61.75
x = 61.75 - 42.21
= 19.54 gallons
So 19.54 gallons of gas was bought by Ivy's father in the third week