Write as a Vector Equality

Problem

{[3*x−5*x2+5*x3=2],[2*x−4*x2+0*x3=3],[4*x+2*x2−3*x3=2])

Solution

1. Identify the variables and their coefficients in each equation of the system.

2. Group the coefficients of each variable into column vectors.

3. Express the system as a linear combination of these column vectors, where each vector is multiplied by its corresponding variable.

4. Set the resulting vector sum equal to the vector of constants from the right-hand side of the equations.

Final Answer

x*[[3],[2],[4]]+x2*[[−5],[−4],[2]]+x3*[[5],[0],[−3]]=[[2],[3],[2]]

Want more problems? Check here!