Write as a Vector Equality

Problem

{[2*x−3*y+5*z=−9],[4*x−y−2*z=−48],[−x−y+z=7])

Solution

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

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

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

4. Construct the vector equality by expressing the system in the form A*x=b where the matrix-vector product represents the linear combinations of the variables.

Final Answer

[[2,−3,5],[4,−1,−2],[−1,−1,1]]*[[x],[y],[z]]=[[−9],[−48],[7]]

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