Matrix in reduced echelon form.
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I'm stuck on this one assignment where I can't seem to solve the problem. I'm supposed to solve the matrix first matrix that you can see in the picture (1,2,3,4 etc). But I'm stuck on the step after multiplying the second row with 1/3. I get 0 1 2 3 4, as I should, but on the next step I want to multiply the third row with 1/5, but the solution shows that the third row should be 0 0 0 0. How is that possible? Thanks in advance.
https://i.stack.imgur.com/HE041.png
matrices
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up vote
-1
down vote
favorite
I'm stuck on this one assignment where I can't seem to solve the problem. I'm supposed to solve the matrix first matrix that you can see in the picture (1,2,3,4 etc). But I'm stuck on the step after multiplying the second row with 1/3. I get 0 1 2 3 4, as I should, but on the next step I want to multiply the third row with 1/5, but the solution shows that the third row should be 0 0 0 0. How is that possible? Thanks in advance.
https://i.stack.imgur.com/HE041.png
matrices
add a comment |
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
I'm stuck on this one assignment where I can't seem to solve the problem. I'm supposed to solve the matrix first matrix that you can see in the picture (1,2,3,4 etc). But I'm stuck on the step after multiplying the second row with 1/3. I get 0 1 2 3 4, as I should, but on the next step I want to multiply the third row with 1/5, but the solution shows that the third row should be 0 0 0 0. How is that possible? Thanks in advance.
https://i.stack.imgur.com/HE041.png
matrices
I'm stuck on this one assignment where I can't seem to solve the problem. I'm supposed to solve the matrix first matrix that you can see in the picture (1,2,3,4 etc). But I'm stuck on the step after multiplying the second row with 1/3. I get 0 1 2 3 4, as I should, but on the next step I want to multiply the third row with 1/5, but the solution shows that the third row should be 0 0 0 0. How is that possible? Thanks in advance.
https://i.stack.imgur.com/HE041.png
matrices
matrices
edited Nov 13 at 16:46
Bernard
115k637108
115k637108
asked Nov 13 at 16:44
Griezy
12
12
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1 Answer
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-1
down vote
accepted
After you multiply the second row by $-1/3$, you obtain row $[0,1,2,3]$. After you multiply the third row by $-1/5$, you obtain again row $[0,1,2,3]$. Now subtract the second row from the third.
So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
– Griezy
Nov 13 at 16:56
Yes, or add a linear combination of rows to another row, or swap rows.
– Bernard
Nov 13 at 16:58
Thank you Bernard.
– Griezy
Nov 13 at 17:21
You're welcome! It's a pleasure to help.
– Bernard
Nov 13 at 17:32
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
-1
down vote
accepted
After you multiply the second row by $-1/3$, you obtain row $[0,1,2,3]$. After you multiply the third row by $-1/5$, you obtain again row $[0,1,2,3]$. Now subtract the second row from the third.
So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
– Griezy
Nov 13 at 16:56
Yes, or add a linear combination of rows to another row, or swap rows.
– Bernard
Nov 13 at 16:58
Thank you Bernard.
– Griezy
Nov 13 at 17:21
You're welcome! It's a pleasure to help.
– Bernard
Nov 13 at 17:32
add a comment |
up vote
-1
down vote
accepted
After you multiply the second row by $-1/3$, you obtain row $[0,1,2,3]$. After you multiply the third row by $-1/5$, you obtain again row $[0,1,2,3]$. Now subtract the second row from the third.
So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
– Griezy
Nov 13 at 16:56
Yes, or add a linear combination of rows to another row, or swap rows.
– Bernard
Nov 13 at 16:58
Thank you Bernard.
– Griezy
Nov 13 at 17:21
You're welcome! It's a pleasure to help.
– Bernard
Nov 13 at 17:32
add a comment |
up vote
-1
down vote
accepted
up vote
-1
down vote
accepted
After you multiply the second row by $-1/3$, you obtain row $[0,1,2,3]$. After you multiply the third row by $-1/5$, you obtain again row $[0,1,2,3]$. Now subtract the second row from the third.
After you multiply the second row by $-1/3$, you obtain row $[0,1,2,3]$. After you multiply the third row by $-1/5$, you obtain again row $[0,1,2,3]$. Now subtract the second row from the third.
answered Nov 13 at 16:52
Bernard
115k637108
115k637108
So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
– Griezy
Nov 13 at 16:56
Yes, or add a linear combination of rows to another row, or swap rows.
– Bernard
Nov 13 at 16:58
Thank you Bernard.
– Griezy
Nov 13 at 17:21
You're welcome! It's a pleasure to help.
– Bernard
Nov 13 at 17:32
add a comment |
So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
– Griezy
Nov 13 at 16:56
Yes, or add a linear combination of rows to another row, or swap rows.
– Bernard
Nov 13 at 16:58
Thank you Bernard.
– Griezy
Nov 13 at 17:21
You're welcome! It's a pleasure to help.
– Bernard
Nov 13 at 17:32
So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
– Griezy
Nov 13 at 16:56
So you can just subtract entire rows from each other? I had no idea. I just started linear algebra today.
– Griezy
Nov 13 at 16:56
Yes, or add a linear combination of rows to another row, or swap rows.
– Bernard
Nov 13 at 16:58
Yes, or add a linear combination of rows to another row, or swap rows.
– Bernard
Nov 13 at 16:58
Thank you Bernard.
– Griezy
Nov 13 at 17:21
Thank you Bernard.
– Griezy
Nov 13 at 17:21
You're welcome! It's a pleasure to help.
– Bernard
Nov 13 at 17:32
You're welcome! It's a pleasure to help.
– Bernard
Nov 13 at 17:32
add a comment |
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