Write as a Vector Equality 2x-5y-3z=-1 , x+4y-2z=9 , x-2y-4z=-5

Problem

{[2*x−5*y−3*z=−1],[x+4*y−2*z=9],[x−2*y−4*z=−5])

Solution

1. Identify the coefficients of the variables x y and z in each equation to form the column vectors for the vector equation.

2. Extract the constants from the right-hand side of the equations to form the result vector.

3. Express the system as a linear combination of the variable vectors by multiplying each variable by its corresponding column of coefficients.

4. Equate the sum of these scaled vectors to the constant vector to form the vector equality.

Final Answer

x*[[2],[1],[1]]+y*[[−5],[4],[−2]]+z*[[−3],[−2],[−4]]=[[−1],[9],[−5]]

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