If a matrix is in reduced form, say so. If not, explain why and indicate a...
Please circle the final answer! Transform to echelon form the matrix 1-20 16 -81 A= 10 -8 2 5 -4 -1) Your answer must be of the form [first operation second operation, ...), where the operations are the row operations that will transform A to a matrix in echeon form. Row Operation (Type this) Meaning (Get this) AddRow(A,i,j,k) row i + krow ; + row i Interchange row į and row i SwapRow(A,i,j) MultiplyRow(A,1,k) krow i + row i For...
Determine if the columns of the matrix form a linearly independent set. 1 2-3 1 2 5 - 4 -2 - 14 2 7 2 Select the correct choice below and fill in the answer box to complete your choice. A. The columns are not linearly independent because the reduced row echelon form of is A 0 B. The columns are linearly independent because the reduced row echelon form ofA 0 is
Determine if the columns of the matrix form a linearly independent set. 1 2 - 3 8 12 37 -6 38 - 1 -8 Select the correct choice below and fill in the answer box to complete your choice. A. The columns are not linearly independent because the reduced row echelon form of [ A o]is | The columns are linearly independent because the reduced row echelon form of [ A 0 ] is B.
Determine if the columns of the matrix form a linearly independent set. Justify your answer. -2 -1 01 0 - 1 3 1 1 -6 2 1 - 12 Select the correct choice below and fill in the answer box within your choice. (Type an integer or simplified fraction for each matrix element.) O A. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that...
The augmented matrix of a linear system has been reduced by row operations to the form shown. Continue the appropriate row operations and describe the solution set of the original system. 1 -1 0 0 -5 0 3 0 -4 0 -2 2 O 0 0 0 4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The solution set contains one solution: (0,001). (Type integers or simplified fractions.) B....
Use row-reduction to put the following matrix to reduced row echelon form. 1 5 4 2 1 2 0 0 3 0 Show each step.
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...
Question 3 Use row-reduction to put the following matrix to reduced row echelon form. 5 1 1 7 4 2 1 2 0 0 3 0 Show each step.
4. Give the row-echelon form and the reduced row-echelon form of the matrix: A = 11 2 0 -1 12 1 -2 51 1 -1 0 1] row-echelon form: reduced row-echelon form:
1. For each of the following systems of linear equations, find: • the augmented matrix • the coefficient matrix • the reduced row echelon form of the augmented matrix • the rank of the augmented matrix • all solutions to the original system of equations Show your work, and use Gauss-Jordan elimination (row reduction) when finding the reduced row echelon forms. (b) 2 + 2x W 2w - 2y - y + y + 3z = 0 = 1 +...