Question

In the product matrix MN The element e 22 is

Answer 1

@umm

Answer 2

matrix multiplication method:

https://cdn.kastatic.org/googleusercontent/rk4fR1jNJsGUfdHOc87UzuQh2zokwYDoVo3Hk1m3s6ToGDgW6KxgrsUeIj8-CJeV6cNf6WB8B6sRHt3BoGBdVY7h

look at the dimensions of your matrices. you have a 2x2 multiplied by a 2x2. the outer dimensions are 2 and 2, so your product is also 2x2.

take
1. the first row of the first matrix
2. the first column of the second matrix

multiply a*e
multiply b*g
add these products together to get a*e + b*g

this is your first row first column entry for the product

Answer 3

now, repeat with

1. the first row of the first matrix
2. the second column of the second matrix

as first row second column of the product

then repeat with

1. the second row of the first matrix
2. the first column of the second matrix

and finally

1. the second row of the first matrix
2. the second column of the second matrix


your question is asking for element e22, which is the second row second column of the product matrix, so you'll get e22 in your last step.

Answer 4

bg+dh

Answer 5

hm, not quite

for e22
1. the second row of the first matrix
2. the second column of the second matrix

second row of the first matrix is c d
second column of the second matrix is f h

multiplying: cf + dh