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

Problem

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

Solution

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

2. Rewrite each equation as a linear combination of the variables by separating the coefficients from the variables.

3. Express the system as a single vector equation by grouping the coefficients of each variable into column vectors.

4. Combine the column vectors multiplied by their respective variables to equal the zero vector.

Final Answer

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

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