Write as a Vector Equality 10x-2y+5x=-1 , 6x-y+4z=-2 , x+z=3

Problem

{[10*x−2*y+5*z=−1],[6*x−y+4*z=−2],[x+z=3])

Solution

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

2. Extract the coefficients from the left-hand side of each equation to form a coefficient matrix A

3. Represent the variables as a column vector x and the constants from the right-hand side as a column vector b

4. Formulate the vector equality by expressing the system in the form A*x=b

Final Answer

[[10,−2,5],[6,−1,4],[1,0,1]]*[[x],[y],[z]]=[[−1],[−2],[3]]

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