In the following model for the growth of rabbits, foxes, and humans, r' = r + .3r - . lf - .2h . f' = f + .4r - .2f - .3h h' = h + . ir + . if + . lh determine the sum and max norms of the coefficient matrix a. (b) if the current vector of population sizes is p = [ 10, 10, 1 0], determine bounds (in sum and max norms) for the size of p' = ap. compute p' and see how close it is to the norm bounds

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

step-by-step explanation:

i got 10.28 but that rounds up to 10.3