row echelon form: M 481 1 2 pyri4t 12-4 -1 -2 1 -4 a. What is a basis for the Colsp(M)? HE 1 a 0 001-3 ernity 2002 0000 hts reserved. Copyright Texas State Univ

Write the following system of equations as an augmented matrix in echelon form.

Use pivots and row operations to solve the following system. Show all of your row operations and your intervening matrices. Write the final matrix in triangular for and solve by using back substitution. A. 2x+y - z=1 x + 2y + z = 8 x + y - 2z = -3

Write the augmented matrix for the following system of equations. x = 2y + 1 -4 - 5x + 8y+2z 0 -5 = -4y – z Submit Answer atter

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…