Write as a Vector Equality

Problem

{[x+y+z=102],[2*x+3*y+4*z=303],[11*x+17*y+23*z=1716])

Solution

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

2. Express the system as a linear combination of these column vectors, where each variable acts as a scalar multiplier.

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

Final Answer

x*[[1],[2],[11]]+y*[[1],[3],[17]]+z*[[1],[4],[23]]=[[102],[303],[1716]]

Want more problems? Check here!