Write as a Vector Equality

Problem

−9=a(2)+b(2)+c,−9=4*a+2*b+c,4*a+2*b+c=−9

Solution

1. Identify the variables and coefficients in the linear equation 4*a+2*b+c=−9

2. Define the coefficient vector by extracting the multipliers of the variables a b and c which are 4 2 and 1

3. Define the variable vector as the column vector containing the unknowns a b and c

4. Express the equation as a dot product of the coefficient vector and the variable vector set equal to the constant term.

Final Answer

[[4,2,1]]*[[a],[b],[c]]=−9

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