Question

For the transition matrix P= 0.8 0.2
0.6 0.4
solve the equation SP=S to find the stationary matrix S... WILL GIVE A MEDAL :D

Answer 1

...matrix S and the limiting matrix P. (the P is suppose to have a line over it)

Answer 2

@jim_thompson5910

Answer 3

@sirm3d

Answer 4

@amistre64

Answer 5

@genius12

Answer 6

my first idea is to simply multiply S and P, then augment it against S

Answer 7

rref |.8a+.6b .2a+.4b| a b|
|.8c+.6d .2c+.4d | c d |

rref {{.8a+.6b,.2a+.4b, a, b},{.8c+.6d,.2c+.4d,c,d}}

http://www.wolframalpha.com/input/?i=rref++%7B%7B.8a%2B.6b%2C.2a%2B.4b%2C+a%2C+b%7D%2C%7B.8c%2B.6d%2C.2c%2B.4d%2Cc%2Cd%7D%7D

the last 2 columns would equate to S

maybe

Answer 8

im most likely remembering something else tho :)

Answer 9

so what do i put in for S= ( ___ ___ ) round to the nearest thousandth as needed