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

Problem

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

Solution

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

2. Define the vector of variables x as a column vector containing x y and z

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

4. Construct the vector equality by multiplying the coefficient matrix by the variable vector and setting it equal to the constant vector.

Final Answer

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

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