Write as a Vector Equality 3x-y+2z=3 , 2x-4y-5z=8 , x+2y+3z=1

Problem

{[3*x−y+2*z=3],[2*x−4*y−5*z=8],[x+2*y+3*z=1])

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. Equate the sum of these scaled vectors to the vector containing the constants from the right-hand side of the equations.

Final Answer

x*[[3],[2],[1]]+y*[[−1],[−4],[2]]+z*[[2],[−5],[3]]=[[3],[8],[1]]

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