Write as a Vector Equality a-3b=0 , -2a+6b=0 , 4a-12b=0

Problem

a−3*b=0,−2*a+6*b=0,4*a−12*b=0

Solution

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

2. Represent the coefficients of a as a single column vector.

a*([1],[−2],[4])

3. Represent the coefficients of b as a single column vector.

−b*([3],[−6],[12])

4. Combine the vectors into a single vector equation where the sum equals the zero vector.

a*([1],[−2],[4])+b*([−3],[6],[−12])=([0],[0],[0])

Final Answer

a*([1],[−2],[4])+b*([−3],[6],[−12])=([0],[0],[0])

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