You can solve an easy equation in your head by using the multiplication table.
]Eigenvectors are found by the equation

implying that

. We then can write:
And:
Gives us the characteristic polynomial:

So, solving for each eigenvector subspace:
![\left [ \begin{array}{cc} 4 & 2 \\ 5 & 1 \end{array} \right ] \left [ \begin{array}{c} x \\ y \end{array} \right ] = \left [ \begin{array}{c} -x \\ -y \end{array} \right ]](https://tex.z-dn.net/?f=%5Cleft%20%5B%20%5Cbegin%7Barray%7D%7Bcc%7D%204%20%26%202%20%5C%5C%205%20%26%201%20%5Cend%7Barray%7D%20%5Cright%20%5D%20%5Cleft%20%5B%20%5Cbegin%7Barray%7D%7Bc%7D%20x%20%5C%5C%20y%20%5Cend%7Barray%7D%20%5Cright%20%5D%20%3D%20%5Cleft%20%5B%20%5Cbegin%7Barray%7D%7Bc%7D%20-x%20%5C%5C%20-y%20%5Cend%7Barray%7D%20%5Cright%20%5D%20)
Gives us the system of equations:
Producing the subspace along the line

We can see then that 3 is the answer.
Answer:
Sydney's Age is 6
Step-by-step explanation:
6 x 2 = 12
12 + 6 = 18
Answer:
y = -5x + 6
Step-by-step explanation:
General equation of a line : y = mx + c......where c is intercept
To find m pick any two points..
(-2, 16) and (-1, 11)
Using (y - y¹) / (x - x¹)
(11 - 16) / (-1 - [-2]) = -5 / 1
= -5
To find c sub with any point for (x, y) and m
using (2, -4)
y = mx + c
-4 = -5(2) + c
-4 = -10 + c
6 = c
Input the values of m and c in the general equation without x and y
; y = -5x + 6
Answer:
a) False. Because you can live in California AND watch American Idol at the same time
b) True. Because the number of patients is a whole number, like 1, 2 or 3. There is no 1.5 patient
c) False. The actual probability should become closer to the theoretical probablity
d) True