Final answer:
To solve the system using the inverse of matrix A, set up the system of equations and solve using substitution, elimination, or a calculator.
Step-by-step explanation:
To solve the given system using the inverse of matrix A, we need to set up the system of equations using matrix multiplication. Let x, y, and z represent the variables in the system.
Equation 1: 11x + y + 7z = 0
Equation 2: 3x + 0y + 2z = 0
Equation 3: 1x - 8y + 3z = 0
Now we can solve this system of equations using various methods such as substitution, elimination, or using a calculator. Without the original system or the vector b, we can't provide a specific solution. If you have either the original system or the vector b, simply multiply A^(-1) by b using matrix multiplication (each element in the row of A^(-1) multiplied by the corresponding element of b, then add those products together to create the new matrix).
To multiply a 3x3 matrix by a 3x1 vector, the result will be another 3x1 vector which gives the solutions to the system of equations.
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