Write as a Vector Equality 8a+b+4d=-1 , 2a+2b+2d=0 , -2a+5b+2d=1

Problem

{[8*a+b+4*d=−1],[2*a+2*b+2*d=0],[−2*a+5*b+2*d=1])

Solution

1. Identify the coefficients of each variable a b and d in the system of linear equations.

2. Express the system as a linear combination of column vectors by grouping the terms associated with each variable.

3. Write the resulting vector equation by setting the sum of the scaled variable vectors equal to the vector of constants from the right-hand side.

Final Answer

a*[[8],[2],[−2]]+b*[[1],[2],[5]]+d*[[4],[2],[2]]=[[−1],[0],[1]]

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