Write a matrix to represent the system of equations.
x - 7y + 2z = -3
8x - 9y + 4z = 6
8y - z = -1
I have 12 boxes to fill in.
do it just like the other one
This one is a 3x3 matrix of the coeffiicients, with a column (x y z) vector
The last row has a zero in the x column
i dont understand
Oh, come on!
x - 7y + 2z = -3
8x - 9y + 4z = 6
8y - z = -1
(1 -7 2)(x) = (-3)
(8 -9 4)(y) = (6)
(0 8 -1)(z) = (-1)
you need to do some reading on the topic.
To represent the system of equations as a matrix, we need to arrange the coefficients of the variables (x, y, and z) into rows and columns. We also include the constant terms on the right side of the equation.
The general format for a matrix representing a system of equations is:
| a b c | | x | | d |
| e f g | x | y | = | h |
| i j k | | z | | l |
In this case, the given system of equations becomes:
| 1 -7 2 | | x | | -3 |
| 8 -9 4 | x | y | = | 6 |
| 0 8 -1 | | z | | -1 |
So, the matrix representation of the system of equations is:
| 1 -7 2 |
| 8 -9 4 |
| 0 8 -1 |
Note that there are only 9 boxes to fill in since the first row has three numbers, the second row has three numbers, and the third row has three numbers.