When a matrix is in echelon form, the zeros make a staircase going down from left to right.
Option C is only correct option.
Incorrect Question 4 0/1 pts When a matrix is in echelon form, the zeros make... an...
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:
(33 pts) This question is about the matrix = ſi 2 [3 2 0 4 1 6 3 1] 4 9 co (a) Find a lower triangular L and an upper triangular U so that A = LU. (b) Find the reduced row echelon form R = rref(A). How many independent columns in A? (c) If the vector b is the sum of the four columns of A, write down the complete solution to Ax = b
4. Consider the matrix 0- 3 1 -2 1 4 (a) Use Matlab to determine the reduced row echelon form of A (b) If v, V2, vs, v4 are the column vectors of the matrix A, use your result from (a) to obtain a basis for the subspace of W-linsv1, V2, V3, V4. Write the basis in the box below 4. Consider the matrix 0- 3 1 -2 1 4 (a) Use Matlab to determine the reduced row echelon form...
(1) A is a 3 x 7 matrix, in reduced echelon form, such that the general solution of the equation where t1, t2, t3, t4 are any real numbers. (a) Which variables are free variables? How can you tell? (b) Write down A. Is it possible to come up with multiple answers for this? (c) Are the vectors that are multiplied by t,tg,ts, t4 linearly independent? You can answer this question without doing any calculations. (1) A is a 3...
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...
Suppose the following matrix B is the echelon form of a matrix A: B = Answer the following questions with reasons. The word “plane” is being used below to mean planes of any dimension. (b) Before you knew B, how many planes in which dimensional space were intersecting to give the solution space of Ax = 0? (c) Looking at B, how many planes do you minimally need to cut out the solution space of Ax = 0? (d) Write...
Determine if the matrix is in row-echelon form. 1 -7 -7 1 3 0 1 0 -3 0 0 2 -1 O A) Yes OB) No
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.
Question 14 [10 points] Given the following matrix A, find an invertible matrix U so that A is equal to UR, when R is the reduced row-echelon form of A: You can resize a matrix (when appropriate) by clicking and dragging the bottom right corner of the matrix. 5 -10 5 50 -15 A = 2 -3 1 17 -5 -1-24 7 -3 4 000 000 00 0 Question 14 [10 points] Given the following matrix A, find an invertible...
Consider the matrix A and the reduced row echelon form of A. A 1 -2 -2 0 39 -3 3 -3 1 0 4 0 0 1 3 0 0 0 0 1 Find a basis for Col A.