Write as a Vector Equality

Problem

{[a+2*b+3*d=10],[2*g+2*b=5],[a+3*x2=6],[5*b+6*d=9])

Solution

1. Identify the variables present in the system of equations, which are a b d g and x2

2. Align the equations by writing each variable in a consistent column, using zero coefficients for missing variables.

3. Extract the coefficients of each variable to form the column vectors for the left side of the equality.

4. Construct the vector equation by multiplying each variable by its corresponding coefficient vector and setting the sum equal to the vector of constants from the right side.

Final Answer

a*[[1],[0],[1],[0]]+b*[[2],[2],[0],[5]]+d*[[3],[0],[0],[6]]+g*[[0],[2],[0],[0]]+x2*[[0],[0],[3],[0]]=[[10],[5],[6],[9]]

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