Write as a Vector Equality 2x+y+z=8 , 3x-2y-z=1 , 4x-7y+3z=10

Problem

{[2*x+y+z=8],[3*x−2*y−z=1],[4*x−7*y+3*z=10])

Solution

1. Identify the coefficients of the variables x y and z from each equation to form the columns of the coefficient matrix.

2. Define the variable vector as a column vector containing the unknowns x y and z

3. Extract the constants from the right-hand side of the equations to form the constant vector.

4. Express the system as a single vector equation where the linear combination of the column vectors equals the constant vector.

Final Answer

x*[[2],[3],[4]]+y*[[1],[−2],[−7]]+z*[[1],[−1],[3]]=[[8],[1],[10]]

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