Write as a Vector Equality ax+cy=0 , bx+dy=0

Problem

{[a*x+c*y=0],[b*x+d(y)=0])

Solution

1. Identify the variables and coefficients in the system of linear equations.

2. Group the terms containing x and the terms containing y into separate vectors.

3. Factor out the scalar variables x and y from their respective coefficient vectors.

4. Combine the resulting vectors into a single vector equation set equal to the zero vector.

Final Answer

x*([a],[b])+y*([c],[d])=([0],[0])

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