(c) Using the row echelon form in part (b), form a metrix in reduced echelon form. (b) Using elementary row operations on the augmented matrix in part (a), form a mtrix in row echelon form.
Example: Write the matrix equation to represent the system, then use an inverse matrix to solve it. Multiply first equation by -16 and add the result to the third equation. Matrix Equations to solve a 3x3 system of equations. z 2 y-5 y + -7 2 + y 22 -1 (a) Fill the augmented matrix, considering the rightmost cells representing the constant values of the linear equations. Multiply first equation by -81 and add the result to the second equation. Solve the system of 3x3 linear equations using elementary row operations on an augmented matrix. 2 2 + 3y + 3y + 8y + 2 -5 -10 -18 -2 + 32 (a) Fill the augmented matrix, considering the rightmost cells representing the constant values of the linear equations. 2x - 2y + 4z 10 - 4y - 2z 2 Step 3: Use elimination to solve the system of the two equations that you found. and Multiply equation 3 by 2 and subtract from equation 2. (c) Using the row echelon form in part (b), form a matrix in reduced echelon form. Multiply equation 1 by two and subtract from equation 2: 2x + 2y + 2z 12.
(b) Using elementary row operations on the augmented matrix in part (a), form a matrix in row echelon form.
+ 2y 22 - (a) Fill the augmented matrix, considering the rightmost cells represent the constant values of the linear equations. Transcribed image text: Solve the system of 3x3 linear equations using elementary row operations on an augmented matrix.