Given a matrix 2x 1 Choose all values of x and y for which the given matrix A has a row echelon form (REF): ○ 0 3 -7 5 A = 0 0 √√3xy + y² -1 -1 3 3xy+y² 0 0 √√xy-y² 0 1 -7 ○ (x = -1/1, x=-12-) 글) 2 (x = 0, y = 1) (x = 0, y = 0) 1 ° ( x = 1/2/₁ x = =/ ) 2 None of the others Given a matrix ○ = 3x 1 0 105] 00 8xy + y² 103 00 √xy-y²011 Choose all values of x and y for which the given matrix A has a reduced row echelon form (RREF): 1 ((x = 3 + x = 3) (x = 0, y = 1) and (x = 0, y = 0) 1 ° (x = ₁ y =) and (x = 0, y = 0) " 3 3 None of the others ○ (x = 0, y = 0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Given a matrix
2x 1
0
3 -7 5
3xy + y² -1 -1 3
0 0 √√√xy-y² 0 1 -7
A = 00
Choose all values of x and y for which the
given matrix A has a row echelon form (REF):
이
○
1
2
(x = 0, y = 1)
O
○ (x = 0, y = 0)
° (x = 1/2 + x = 1/2 )
None of the others
Given a matrix
1
2
A = 0 0
3x 1 0
105]
0 0 √8xy + y² 103
0 0 √√xy-y² 0 11
Choose all values of x and y for which the
given matrix A has a reduced row echelon form
(RREF):
° (x = 1/3₁ y = =/ )
"
3
○ (x = 0, y = 1)
1
(x = 3 + x = 3)
and (x = 0, y = 0)
y |and (x = 0, y = 0)
None of the others
○ (x=0, y=0)
Transcribed Image Text:Given a matrix 2x 1 0 3 -7 5 3xy + y² -1 -1 3 0 0 √√√xy-y² 0 1 -7 A = 00 Choose all values of x and y for which the given matrix A has a row echelon form (REF): 이 ○ 1 2 (x = 0, y = 1) O ○ (x = 0, y = 0) ° (x = 1/2 + x = 1/2 ) None of the others Given a matrix 1 2 A = 0 0 3x 1 0 105] 0 0 √8xy + y² 103 0 0 √√xy-y² 0 11 Choose all values of x and y for which the given matrix A has a reduced row echelon form (RREF): ° (x = 1/3₁ y = =/ ) " 3 ○ (x = 0, y = 1) 1 (x = 3 + x = 3) and (x = 0, y = 0) y |and (x = 0, y = 0) None of the others ○ (x=0, y=0)
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