Write as a Vector Equality 2a-2b=0 , d+3g=2 , 3a-3b=0 , a-b+2d+6g=4

Problem

{[2*a−2*b=0],[d+3*g=2],[3*a−3*b=0],[a−b+2*d+6*g=4])

Solution

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

2. Rewrite each equation so that all variables are represented, using a coefficient of 0 for missing variables.

3. Extract the coefficients of each variable to form the column vectors for the vector equation.

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

Final Answer

a*[[2],[0],[3],[1]]+b*[[−2],[0],[−3],[−1]]+d*[[0],[1],[0],[2]]+g*[[0],[3],[0],[6]]=[[0],[2],[0],[4]]

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