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Quicker and less error prone methods for finding determinant. [duplicate]
Clash Royale CLAN TAG#URR8PPP
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This question already has an answer here:
Efficient algorithm for calculating determinants [closed]
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During one of the questions I was solving I came across the following determinant:
$left|matrixt-1&3&0&-3\2&t+6&0&-13\0&3&t-1&-3\1&4&0&t-8right|$
I solved it directly by expanding from the third column and got the result $(t-1)^4$.
However, along the way I made a couple of calculation errors and finding them took me a while. This got me thinking that maybe there are some tips and tricks I could use to calculate this in a faster less error prone method. Or maybe, at least know that I got the right answer in some way?
Any tips that could interest me?
linear-algebra determinant
asked Jul 25 at 17:51
Jason
1,10011327
marked as duplicate by amWhy linear-algebra
Users with the  linear-algebra badge can single-handedly close linear-algebra questions as duplicates and reopen them as needed.
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Jul 25 at 18:09
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
add a comment |Â
up vote
1
down vote
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This question already has an answer here:
Efficient algorithm for calculating determinants [closed]
2 answers
During one of the questions I was solving I came across the following determinant:
$left|matrixt-1&3&0&-3\2&t+6&0&-13\0&3&t-1&-3\1&4&0&t-8right|$
I solved it directly by expanding from the third column and got the result $(t-1)^4$.
However, along the way I made a couple of calculation errors and finding them took me a while. This got me thinking that maybe there are some tips and tricks I could use to calculate this in a faster less error prone method. Or maybe, at least know that I got the right answer in some way?
Any tips that could interest me?
linear-algebra determinant
asked Jul 25 at 17:51
Jason
1,10011327
marked as duplicate by amWhy linear-algebra
Users with the  linear-algebra badge can single-handedly close linear-algebra questions as duplicates and reopen them as needed.
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Jul 25 at 18:09
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
Perhaps merge with math.stackexchange.com/questions/2857224/…
– RHowe
Jul 25 at 17:58
@Geronimo I don't think these questions are the same. That question is generally about efficient algorithms for calculating the determinant. While my question is about practical tips and tricks which can be used when doing this sort of thing by hand.
– Jason
Aug 2 at 16:35
I see. I don't think it's a duplicate then.
– RHowe
Aug 2 at 17:00
add a comment |Â
up vote
1
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up vote
1
down vote
favorite
This question already has an answer here:
Efficient algorithm for calculating determinants [closed]
2 answers
During one of the questions I was solving I came across the following determinant:
$left|matrixt-1&3&0&-3\2&t+6&0&-13\0&3&t-1&-3\1&4&0&t-8right|$
I solved it directly by expanding from the third column and got the result $(t-1)^4$.
However, along the way I made a couple of calculation errors and finding them took me a while. This got me thinking that maybe there are some tips and tricks I could use to calculate this in a faster less error prone method. Or maybe, at least know that I got the right answer in some way?
Any tips that could interest me?
linear-algebra determinant
asked Jul 25 at 17:51
Jason
1,10011327
This question already has an answer here:
Efficient algorithm for calculating determinants [closed]
2 answers
During one of the questions I was solving I came across the following determinant:
$left|matrixt-1&3&0&-3\2&t+6&0&-13\0&3&t-1&-3\1&4&0&t-8right|$
I solved it directly by expanding from the third column and got the result $(t-1)^4$.
However, along the way I made a couple of calculation errors and finding them took me a while. This got me thinking that maybe there are some tips and tricks I could use to calculate this in a faster less error prone method. Or maybe, at least know that I got the right answer in some way?
Any tips that could interest me?
This question already has an answer here:
Efficient algorithm for calculating determinants [closed]
2 answers
linear-algebra determinant
asked Jul 25 at 17:51
Jason
1,10011327
asked Jul 25 at 17:51
Jason
1,10011327
asked Jul 25 at 17:51
Jason
1,10011327
asked Jul 25 at 17:51
Jason
1,10011327
1,10011327
marked as duplicate by amWhy linear-algebra
Users with the  linear-algebra badge can single-handedly close linear-algebra questions as duplicates and reopen them as needed.
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Jul 25 at 18:09
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
marked as duplicate by amWhy linear-algebra
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Jul 25 at 18:09
This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.
Perhaps merge with math.stackexchange.com/questions/2857224/…
– RHowe
Jul 25 at 17:58
@Geronimo I don't think these questions are the same. That question is generally about efficient algorithms for calculating the determinant. While my question is about practical tips and tricks which can be used when doing this sort of thing by hand.
– Jason
Aug 2 at 16:35
I see. I don't think it's a duplicate then.
– RHowe
Aug 2 at 17:00
add a comment |Â
Perhaps merge with math.stackexchange.com/questions/2857224/…
– RHowe
Jul 25 at 17:58
@Geronimo I don't think these questions are the same. That question is generally about efficient algorithms for calculating the determinant. While my question is about practical tips and tricks which can be used when doing this sort of thing by hand.
– Jason
Aug 2 at 16:35
I see. I don't think it's a duplicate then.
– RHowe
Aug 2 at 17:00
Perhaps merge with math.stackexchange.com/questions/2857224/…
– RHowe
Jul 25 at 17:58
Perhaps merge with math.stackexchange.com/questions/2857224/…
– RHowe
Jul 25 at 17:58
@Geronimo I don't think these questions are the same. That question is generally about efficient algorithms for calculating the determinant. While my question is about practical tips and tricks which can be used when doing this sort of thing by hand.
– Jason
Aug 2 at 16:35
@Geronimo I don't think these questions are the same. That question is generally about efficient algorithms for calculating the determinant. While my question is about practical tips and tricks which can be used when doing this sort of thing by hand.
– Jason
Aug 2 at 16:35
I see. I don't think it's a duplicate then.
– RHowe
Aug 2 at 17:00
I see. I don't think it's a duplicate then.
– RHowe
Aug 2 at 17:00
add a comment |Â
1 Answer
1
active
oldest
votes
up vote
4
down vote
accepted
If you put the matrix in triangular form you can take the determinant by taking the product of the diagonal entries
answered Jul 25 at 17:56
DuncanH
382313
Wonderful suggestion.
– Faraad Armwood
Jul 25 at 18:01
That's a good suggestion, I'll try it on my example and see if it works well for that one.
– Jason
Jul 25 at 18:04
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
4
down vote
accepted
If you put the matrix in triangular form you can take the determinant by taking the product of the diagonal entries
answered Jul 25 at 17:56
DuncanH
382313
Wonderful suggestion.
– Faraad Armwood
Jul 25 at 18:01
That's a good suggestion, I'll try it on my example and see if it works well for that one.
– Jason
Jul 25 at 18:04
add a comment |Â
up vote
4
down vote
accepted
If you put the matrix in triangular form you can take the determinant by taking the product of the diagonal entries
answered Jul 25 at 17:56
DuncanH
382313
Wonderful suggestion.
– Faraad Armwood
Jul 25 at 18:01
That's a good suggestion, I'll try it on my example and see if it works well for that one.
– Jason
Jul 25 at 18:04
add a comment |Â
up vote
4
down vote
accepted
up vote
4
down vote
accepted
If you put the matrix in triangular form you can take the determinant by taking the product of the diagonal entries
answered Jul 25 at 17:56
DuncanH
382313
If you put the matrix in triangular form you can take the determinant by taking the product of the diagonal entries
answered Jul 25 at 17:56
DuncanH
382313
answered Jul 25 at 17:56
DuncanH
382313
answered Jul 25 at 17:56
DuncanH
382313
answered Jul 25 at 17:56
DuncanH
382313
382313
Wonderful suggestion.
– Faraad Armwood
Jul 25 at 18:01
That's a good suggestion, I'll try it on my example and see if it works well for that one.
– Jason
Jul 25 at 18:04
add a comment |Â
Wonderful suggestion.
– Faraad Armwood
Jul 25 at 18:01
That's a good suggestion, I'll try it on my example and see if it works well for that one.
– Jason
Jul 25 at 18:04
Wonderful suggestion.
– Faraad Armwood
Jul 25 at 18:01
Wonderful suggestion.
– Faraad Armwood
Jul 25 at 18:01
That's a good suggestion, I'll try it on my example and see if it works well for that one.
– Jason
Jul 25 at 18:04
That's a good suggestion, I'll try it on my example and see if it works well for that one.
– Jason
Jul 25 at 18:04
add a comment |Â
Perhaps merge with math.stackexchange.com/questions/2857224/…
– RHowe
Jul 25 at 17:58
@Geronimo I don't think these questions are the same. That question is generally about efficient algorithms for calculating the determinant. While my question is about practical tips and tricks which can be used when doing this sort of thing by hand.
– Jason
Aug 2 at 16:35
I see. I don't think it's a duplicate then.
– RHowe
Aug 2 at 17:00