To solve the matrix equation, we can use matrix multiplication.
Let's represent the matrix X as:
X = [a b]
[c d]
Multiplying the given matrix equation [9 4] X= [-9 -6] [2 1] [-1 -8] we get:
[9a + 4c, 9b + 4d] = [-9, -6]
[2a + c, 2b + d] = [-1, -8]
This gives us the following system of equations:
9a + 4c = -9
9b + 4d = -6
2a + c = -1
2b + d = -8
Solving these equations simultaneously, we find:
a = 1
b = -3
c = -1
d = -6
Therefore, the solution for matrix X is:
X = [1, -3]
[-1, -6]
What is the solution of the matrix equation?
[9 4] X= [-9 -6]
[2 1] [-1 -8]
1 answer