In Euclidean spaces, a set C is called a convex set if for all x and y in C, the line segment connecting x and y is included in C. In other words, the affine combination tx p1 tqy belongs to C, for all x, y P C, and t P r0, 1s. Prove that if a Markov Chain has stationary distribution, then all stationary distribution of this Markov Chain is a convex set. (b) Let pXnqn0,1,2 be a Markov chain with state space S t1, 2, , Nu. The sum of each column of the stochastic probability matrix P is 1, i. e. ¸ N i1 Pij 1, for all j Show that if this Markov chain is aperiodic and irreducible, then the stationary distribut

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

answer: on kudzu, being female and being green are independent events.

step-by-step explanation:

1 and 0

step-by-step explanation:

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: