Solve the system of equations below. You can use the 'rref" command on the graphing calculator. Show me the initial matrix, the reduced form matrix and then solve the system for x1, x2, and x3. X3 = 3 11x1 - 2x2 - 5x3 = -12 2x3 2x1+ x2 - = -12 Xi + 3x2 -

Please write the system of linear equations as a matrix solution. Please see image below.   Please show full work!   Thank yoU!

When writing the following linear system of equations in the matrix form A = 6 -5x1 - 3x2 = -4 x1 + x₂ = 2 3x1 - 2x₂ = 4 a. What is the matrix A?

A small software corporation borrowed $292,500 to expand its software line. Some of the money was borrowed at 9%, some at 10%, and some at 12%. Use a system of equations to determine how much was borrowed at each rate if the annual interest was $29,900 and the amount borrowed at 10% was 22 times the amount borrowed at 9%. Solve the system using matrices. Step 1 Let the amount borrowed at 9% be x, the amount borrowed at 10% be y, and the amount borrowed at 12% be z. The total amount borrowed was $292,500. The total annual interest was $29,900. The amount borrowed at 10% was 2- times the amount borrowed at 9%. Write a set of equations using the information given. Convert the percentage to decimal fraction. x + y + z = 292,500 .09 x +.10 y + |.12 V z = 29,900 X x - y = 0 Write the associated augmented matrix for the given system of equations. Recall that since there are three equations in the system, the matrix will have three rows. Use the coefficients of x, y and z as entries of the…