Find the inverse of the matrix (if it exists). (If the answer does not exist, enter DNE in any cell of the matrix.)

Step-by-step explanation:

This is the formula we will use. Accordingly:

det represents the determinant

if the determinant is 0 then only the inverse matrix will not exist. So let's find the determinant.

Now we multiply the following matrix by 1/1:

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is