What is the determinant of the coefficient matrix of the system
4x-6y+0z=-7
3x+3y+0z = -2
2x– 12y+0z=-1

All of the z coefficients are zero. This means that the matrix will have a column full of zeroes:

And every time a matrix has a row/column full of zeroes, its determinant is zero.

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.

answer: (-6,3)

step-by-step explanation: