How many ways are there to order the evaluation of the product of n matrices: m 1 m 2 . . m n ? for example, with two matrices, we have (m 1 m 2 )m 3 and m 1 (m 2 m3).

n-1 ways

Step-by-step explanation:

since there are 2 ways to order 3 matrices:

and

you can do it the same way for 4 matrices and notice a pattern:

the pattern here is that the number of ways to order the evaluation of multiplying matrices is 1 less than the number of matrices.

for matrices the order is

hope this helps!

9

step-by-step explanation:

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.