Common Sayings/Define
Transitions matrices are defined with what letter?
P
To start a partition problem, what equation do we need?
All the variables = 1
How do we know if we can add/subtract matrices together? How do we know that we can multiply?
Add/subtract need to be of the same dimension/size. To multiply their inside number of their dimensions have to be the same: (1x3)(3x1)
0.2 x 0.3
0.06
3/4 x 7/8
21/32
Italia's favorite Finite word
Partition
What is the equation for conditional probability?
n!/(n-r)!r!
Divide
It's not shampoo,
it is...
Conditional
Matrices are helpful when we have a ton of equations with multiple variables, especially when substitution/elimination is not enough.
Rather than dividing we have to do what: (two things)
Multiply by a fraction, when solving matrices.
Multiply by the inverse, when trying to isolate a variable.
This is a very important equation to memorize, you need to _______ ____ in your _____.
Tattoo this in your brain
What is the equation to find a stable vector?
W(P-I) = 0
How do we read matrices/How do we know the dimensions?
We read them going down and across.
In the Demand Vector what does A, X, D, & I stand for?
A = technology matrix
X = production schedule
D = demand
I = identity
What are the two equations for the Demand Vector?
(I-A)*X = D
X = ((I-A)^-1)*D
What is the difference between independent and disjoint?
Independent they can still have an intersection, but we can multiply the two subsets to get an intersection: AxB = n
With disjoint subsets, they DO NOT have an intersection.