Write as a Vector Equality x+y-z=1 , 2x+3y+az=3 , x+ay+3z=2

Problem

{[x+y−z=1],[2*x+3*y+a*z=3],[x+a*y+3*z=2])

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 of a matrix-vector product A*x=b

Final Answer

[[1,1,−1],[2,3,a],[1,a,3]]*[[x],[y],[z]]=[[1],[3],[2]]

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