Given a matrix 0 105 8xy + y² 103 0 0 √√xy-y² 0 1 1 Choose all values of x and y for which the given matrix A has a reduced row echelon for (RREF): 3x 1 A = 0 0 ° (x = 1, y = -1) y= 3 ○ (x = 0, y = 1) 1 (x=₁ y =) and (x = 0, y = 0) 3 O None of the others ○ (x = 0, y = 0)

Given a matrix 0 105 8xy + y² 103 0 0 √√xy-y² 0 1 1 Choose all values of x and y for which the given matrix A has a reduced row echelon for (RREF): 3x 1 A = 0 0 ° (x = 1, y = -1) y= 3 ○ (x = 0, y = 1) 1 (x=₁ y =) and (x = 0, y = 0) 3 O None of the others ○ (x = 0, y = 0)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.5: Subspaces, Basis, Dimension, And Rank

Problem 63EQ

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Question

Given a matrix
A =
[ 3x 1
0
00
8xy + y² 1 0 3
2
0 0 √√xy-y² 0 1 1
105]
Choose all values of x and y for which the
given matrix A has a reduced row echelon form
(RREF):
° (x = 13₁ x = -1)
"
3
○ (x = 0, y = 1)
° (x = ₁ y = ²) and (x = 0, y = 0)
"
у
3
3
O None of the others
○ (x = 0, y = 0)

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