Write as a Vector Equality 4x+10y-12z=5 , -5x^6y=11

Problem

{[4*x+10*y−12*z=5],[−5*x+6*y=11])

Solution

1. Identify the variables and constants 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 x as a column vector containing x y and z

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

5. Express the system as the vector equality A*x=b

Final Answer

[[4,10,−12],[−5,6,0]]*[[x],[y],[z]]=[[5],[11]]

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