Write as a Vector Equality x+y-z=a , 2x-3y+4z=b , 3x+8y-9z=c

Problem

{[x+y−z=a],[2*x−3*y+4*z=b],[3*x+8*y−9*z=c])

Solution

1. Identify the coefficients of the variables x y and z for each equation in the system.

2. Express the system as a linear combination of constant vectors multiplied by the variables x y and z

3. Group the coefficients into column vectors to form the vector equality.

Final Answer

x*[[1],[2],[3]]+y*[[1],[−3],[8]]+z*[[−1],[4],[−9]]=[[a],[b],[c]]

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