Write as a Vector Equality

Problem

{[2*x−2*y+z=−15],[6*x−3*y−z=−19],[3*x−y−z=−6])

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

Final Answer

[[2,−2,1],[6,−3,−1],[3,−1,−1]]*[[x],[y],[z]]=[[−15],[−19],[−6]]

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