Write as a Vector Equality 7x+23y+3z=17 , 3x+10y+4z=-2 , x+3y-5z=6

Problem

{[7*x+23*y+3*z=17],[3*x+10*y+4*z=−2],[x+3*y−5*z=6])

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 variable by its corresponding vector of coefficients.

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

Final Answer

x*[[7],[3],[1]]+y*[[23],[10],[3]]+z*[[3],[4],[−5]]=[[17],[−2],[6]]

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