7. let a be a matrix with n columns(number of unknowns). state and prove the dimension theorem for matrices. this is also known as the rank-nullity theorem

might be the correct answer will be question number 2

2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6

answer is  

a.

7 in. x 11 in.

hope you get this right.