Write as a Vector Equality -1x+0y+z=0 , x+y+0z=-3 , 0x+y+3z=1

Problem

{[−1*x+0*y+z=0],[x+y+0*z=−3],[0*x+y+3*z=1])

Solution

1. Identify the coefficients of the variables x y and z in 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. Express the system in the form A*x=b to represent the vector equality.

Final Answer

[[−1,0,1],[1,1,0],[0,1,3]]*[[x],[y],[z]]=[[0],[−3],[1]]

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