Write as a Vector Equality

Problem

{[x+y+z=1],[a*x+b*y+c*z=d],[a2*x+b2*y+c2*z=d2])

Solution

1. Identify the variables and coefficients in the system of linear equations. The variables are x y and z

2. Construct the coefficient matrix A by extracting the coefficients of x y and z from each equation.

3. Define the variable vector v as a column vector containing x y and z

4. Define the constant vector b using the terms on the right side of the equals signs.

5. Express the system as the matrix-vector product A*v=b

Final Answer

[[1,1,1],[a,b,c],[a2,b2,c2]]*[[x],[y],[z]]=[[1],[d],[d2]]

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