Write as a Vector Equality

Problem

{[3*x−12*y+18*z=−73],[2*x+4*y−3*z=9],[x−4*y+6*z=−24])

Solution

1. Identify the coefficients of the variables x y and z for each equation to form the column vectors.

2. Extract the constants from the right-hand side of the equations to form the constant vector.

3. Express the system as a linear combination of the column vectors multiplied by their respective variables.

4. Combine the column vectors into a single matrix-vector product form A*x=b

Final Answer

([3,−12,18],[2,4,−3],[1,−4,6])*([x],[y],[z])=([−73],[9],[−24])

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