Write as a Vector Equality x+y-z=2 , 2x-3y+4z=-3

Problem

{[x+y−z=2],[2*x−3*y+4*z=−3])

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 by multiplying each vector by its corresponding variable.

3. Set the linear combination equal to the vector formed by the constants on the right side of the equations.

Final Answer

x*[[1],[2]]+y*[[1],[−3]]+z*[[−1],[4]]=[[2],[−3]]

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