Write as a Vector Equality w+x-y+z=-10 , 4w-x+y-z=5 , -w-6x+y-6z=5

Problem

{[w+x−y+z=−10],[4*w−x+y−z=5],[−w−6*x+y−6*z=5])

Solution

1. Identify the variables in the system of equations, which are w x y and z

2. Extract the coefficients from each equation to form a coefficient matrix.

3. Represent the variables as a column vector.

4. Represent the constants on the right side of the equations as a column vector.

5. Formulate the vector equality by expressing the system as a linear combination of column vectors scaled by the variables.

Final Answer

w*[[1],[4],[−1]]+x*[[1],[−1],[−6]]+y*[[−1],[1],[1]]+z*[[1],[−1],[−6]]=[[−10],[5],[5]]

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