The matrix equation [9 4; 2 1]X = [-9 -6; -1 -8] can be rewritten as:
9x + 4y = -9
2x + y = -6
We can solve this system of equations using various methods, such as substitution or elimination. Let's use the elimination method to solve it.
First, let's multiply the second equation by 4 to make the coefficients of y in both equations equal:
8x + 4y = -24
Now, subtract the first equation from this new equation:
(8x + 4y) - (9x + 4y) = -24 - (-9)
Simplifying:
- x = -15
Now, substitute this value of x back into one of the original equations (let's use the first equation):
9(-15) + 4y = -9
Simplifying:
-135 + 4y = -9
Add 135 to both sides:
4y = -9 + 135
4y = 126
Divide both sides by 4:
y = 31.5
So, the solution to the matrix equation is X = [-15; 31.5]
What is the solution of the matrix equation?
[9 4];[2 1]X=[-9 -6];[-1 -8]
1 answer