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Write as a Vector Equality 3a-6b=9 , -2a+4b=6

Problem

{[3*a−6*b=9],[−2*a+4*b=6])

Solution

  1. Identify the coefficients of the variables a and b in each equation to form the column vectors.

  2. Group the coefficients of a into one vector and the coefficients of b into another vector.

  3. Set the linear combination of these vectors equal to the vector containing the constants from the right side of the equations.

  4. Write the final vector equation by multiplying each scalar variable by its corresponding coefficient vector.

Final Answer

a*[[3],[−2]]+b*[[−6],[4]]=[[9],[6]]


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