In exercises 21-24 the given matrices are in reduced row echelon form (check this). Assume each...
1. Each of the following matrices is in reduced row echelon form. Write the solution for each. (1000 a. o 100 Loo 011 oo 581 b. 010- 32 Lool 61-7 (1 20 4 097 c. 0 0 1 -3 0 12 Loooo 115 2. State whether or not each matrix is in reduced echelon form. If a matrix is not in reduced echelon form, explain why it is not. a [1 0 0 0 87 0 1 2 0 2...
Given the following system of linear equations 1. 2xi + 4x2 + 8 x3 + x. +2x,3 a) Write the augmented matrix that represents the system b) Find a reduced row echelon form (RREF) matrix that is row equivalent to the augmented matrix c) Find the general solution of the system d) Write the homogeneous system of equations associated with the above (nonhomogeneous) system and find its general solution. Given the following system of linear equations 1. 2xi + 4x2...
3. (Auqmented Matrices, Reduced Row BEchelon Form). In each of the following, the augmented matrix is in reduced row echelon form. In each case, find the solution set to the corresponding linear system. 1 0 010 1-10 0-5 11 0-9 o) o1 0 (ii). 01 -6 (008 1 -59 0| 2 0 1 0-7 17 0318 (iv)o o 1 9 -5 00 1-2 (v)0 00 0(vi). 1
Use elementary row operations to reduce the given matrix to row echelon form and reduced row echelon form. Please note when it hits REF and RREF. Thank you! 6. + 0/2 points Previous Answers PooleLinAlg4 2.2.014. Use elementary row operations to reduce the given matrix to row echelon form and reduced row echelon form. [-2 -4 11 | -5 -10 26 Li 2 -5] (a) row echelon form 2 1 -1172 -3/40 0 1 (b) reduced row echelon form 0...
Below are the results of each step in the transformation of a matrix to row reduced echelon form, using Gaussian elimination. These are the same steps involved in the decomposition PALU - 2 2 0 6 AP 1 1 2 0 0 0 2 -3 1 3 3 3 1 3 3 3 0 2 3 0 0 4 2 2 A o 2 3 0 A0 0 2 -13 0 2-1 0 0 0 -2 0 0 2 -3...
Problem 12 In Exercises 1 - 2 row reduce the given matrix to reduced echelon form by hand and determine its rank. 1 1 2 1 6 ) $2.4, Exercise 1. A = 3 6 1 14 1 1 2 2 8
Use Gaussian elimination to find a row echelon form (not reduced row echelon form) of the augmented matrix for the following system, and then use it to determine for which value of a the following system has infinitely many solutions. x - 2y + 4z = 1 * +3y + z = -9 2x - 3y + az = 0
4. (a) Row reduce the matrices A and B below to reduced row echelon form (RREF). (3 0 6 TO 6 18 -6 67 5 1 9 A = 2 3 13 -2 9 2 3 +41 11 0 y 13 37 -1 Here y and are unknown real numbers. Caution: The RREF might depend on the value of y or 2, so you may need to break up your row reduction into cases. (b) Find all solutions x =...
Please highlight answers and answer all questions in each question The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x and y as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution 10 -5 0 1 8 What equation does the first row represent? x= -5 (Type an equation.) What equation does the second row represent? y =...
6. The reduced row echelon form of a system of linear equations is shown below. Write the system of equations corresponding to the given matrix. Use x, y, and z as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. 1 0 41 41 0 1 3 2 Lo 0 0 0