All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.
That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If

is the component for state

, then you have

which means

. So the state vector is

.
You can do 8 + 8 = 16 then minus 1 cuz thats how much you added
Answer:
Step-by-step explanation:
The determinant of a matrix is a special number that can be calculated from a square matrix.
...
To work out the determinant of a 3×3 matrix:
Multiply a by the determinant of the 2×2 matrix that is not in a's row or column.
Likewise for b, and for c.
Sum them up, but remember the minus in front of the b.
The first question asks who sold more rolls. So start with figuring out how many Christie sold.
5 total - 1 2/3 left = 3 1/3 sold
you can convert the numbers to improper fractions with the same denominator. Like this:
5 x (3/3) - (3+2)/3
15/3 - 5/3 = 10/3
10/3 = 3 1/3
So now we know Christie sold more because 3 1/3 dozen is more than 2 1/2 dozen.
The part asks how many more.. Subtract the amounts the two girls sold.
3 1/3 - 2 1/2
10/3 x (2/2) - 5/2 x (3/3)
20/6 - 15/6 = 5/6
Christie sold 5/6 dozen more rolls. A dozen is 12 rolls so if you wanted to go further you just multiply 12 x 5/6 = 10 rolls