What is the determinant of the coefficient matrix of the system –11 –2 0 55

The first two rows of coefficients are identical, so by inspection, the determinant is 0.

The determinant of  coefficient  matrix of the given system is 0.

Step-by-step explanation:

Given system of equation

The coefficient matrix of the system

Let A=

X=

B=

Therefore , we can AX=B

=

The determinant of  coefficient matrix of the given system is given by

By using determinant property : when two rowsor two columns are identical then the value of determinant is equal to zero .

the given 6 = w/p is equivalent to 6p = w, where w is the total area of the walls and p is the area covered by a single can of paint.

knowing that 6 cans of paint will be needed, 6p = w becomes 6(6) = w = 36.   this tells us that the total area to be painted is 36 square units.