(-1-5%2B3x)%3D0.jpeg "(2x+1 4)(-1 5+3x)=0")
Solving the Equation (2x+1 4)(-1 5+3x) = 0
This equation involves a product of two matrices that equals the zero matrix. To solve this, we use the following principle:
If the product of two matrices equals the zero matrix, then at least one of the matrices must be the zero matrix.
Therefore, we need to consider two cases:
Case 1: (2x+1 4) = (0 0)
This leads to the following system of equations:
- 2x + 1 = 0
- 4 = 0
The second equation is clearly false, meaning this case has no solutions.
Case 2: (-1 5+3x) = (0 0)
This leads to the following system of equations:
- -1 = 0
- 5 + 3x = 0
The first equation is again false. Therefore, this case also has no solutions.
Conclusion
Since both cases lead to contradictions, the original equation (2x+1 4)(-1 5+3x) = 0 has no solutions.