Find the matrix of T [on hold]

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Let $T: R^2 rightarrow R^2$ be rotation through $pi$ followed by reflection in the X axis. Find the matrix of $T$

I really dont know much about rotation nor reflection matrices

linear-algebra

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edited Aug 3 at 22:33

Arnaud Mortier

17.7k21857

asked Aug 3 at 22:23

Doan Van Thang

82

put on hold as off-topic by José Carlos Santos, Arnaud Mortier, Xander Henderson, Leucippus, Taroccoesbrocco Aug 4 at 4:22

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – José Carlos Santos, Arnaud Mortier, Xander Henderson, Leucippus, Taroccoesbrocco

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  You will get much better, more helpful answers, if you edit your question to tell us what you already know about this situation. How familiar are you with rotation and reflection matrices? If the question only asked for one transformation rather than two, would you know what to do?
  – G Tony Jacobs
  Aug 3 at 22:26
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  ah sorry, my bad
  – Doan Van Thang
  Aug 3 at 22:31
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  Do you know what a matrix is, at all? And how it is related to linear maps?
  – Arnaud Mortier
  Aug 3 at 22:35
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  The matrix of $T$ is the matrix whose columns are $T(1,0)$ and $T(0,1)$.
  – Gerry Myerson
  Aug 3 at 23:12
  

  
  
  
  

add a comment | 

up vote
0
down vote

favorite

1

Let $T: R^2 rightarrow R^2$ be rotation through $pi$ followed by reflection in the X axis. Find the matrix of $T$

I really dont know much about rotation nor reflection matrices

linear-algebra

share|cite|improve this question

edited Aug 3 at 22:33

Arnaud Mortier

17.7k21857

asked Aug 3 at 22:23

Doan Van Thang

82

put on hold as off-topic by José Carlos Santos, Arnaud Mortier, Xander Henderson, Leucippus, Taroccoesbrocco Aug 4 at 4:22

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – José Carlos Santos, Arnaud Mortier, Xander Henderson, Leucippus, Taroccoesbrocco

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  You will get much better, more helpful answers, if you edit your question to tell us what you already know about this situation. How familiar are you with rotation and reflection matrices? If the question only asked for one transformation rather than two, would you know what to do?
  – G Tony Jacobs
  Aug 3 at 22:26
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  ah sorry, my bad
  – Doan Van Thang
  Aug 3 at 22:31
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  Do you know what a matrix is, at all? And how it is related to linear maps?
  – Arnaud Mortier
  Aug 3 at 22:35
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  The matrix of $T$ is the matrix whose columns are $T(1,0)$ and $T(0,1)$.
  – Gerry Myerson
  Aug 3 at 23:12
  

  
  
  
  

add a comment | 

up vote
0
down vote

favorite

1

up vote
0
down vote

favorite

1

1

Let $T: R^2 rightarrow R^2$ be rotation through $pi$ followed by reflection in the X axis. Find the matrix of $T$

I really dont know much about rotation nor reflection matrices

linear-algebra

share|cite|improve this question

edited Aug 3 at 22:33

Arnaud Mortier

17.7k21857

asked Aug 3 at 22:23

Doan Van Thang

82

Let $T: R^2 rightarrow R^2$ be rotation through $pi$ followed by reflection in the X axis. Find the matrix of $T$

I really dont know much about rotation nor reflection matrices

linear-algebra

share|cite|improve this question

edited Aug 3 at 22:33

Arnaud Mortier

17.7k21857

asked Aug 3 at 22:23

Doan Van Thang

82

share|cite|improve this question

share|cite|improve this question

edited Aug 3 at 22:33

Arnaud Mortier

17.7k21857

edited Aug 3 at 22:33

Arnaud Mortier

17.7k21857

edited Aug 3 at 22:33

Arnaud Mortier

17.7k21857

17.7k21857

asked Aug 3 at 22:23

Doan Van Thang

82

asked Aug 3 at 22:23

Doan Van Thang

82

asked Aug 3 at 22:23

Doan Van Thang

82

82

put on hold as off-topic by José Carlos Santos, Arnaud Mortier, Xander Henderson, Leucippus, Taroccoesbrocco Aug 4 at 4:22

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – José Carlos Santos, Arnaud Mortier, Xander Henderson, Leucippus, Taroccoesbrocco

If this question can be reworded to fit the rules in the help center, please edit the question.

put on hold as off-topic by José Carlos Santos, Arnaud Mortier, Xander Henderson, Leucippus, Taroccoesbrocco Aug 4 at 4:22

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – José Carlos Santos, Arnaud Mortier, Xander Henderson, Leucippus, Taroccoesbrocco

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  You will get much better, more helpful answers, if you edit your question to tell us what you already know about this situation. How familiar are you with rotation and reflection matrices? If the question only asked for one transformation rather than two, would you know what to do?
  – G Tony Jacobs
  Aug 3 at 22:26
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  ah sorry, my bad
  – Doan Van Thang
  Aug 3 at 22:31
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  Do you know what a matrix is, at all? And how it is related to linear maps?
  – Arnaud Mortier
  Aug 3 at 22:35
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  The matrix of $T$ is the matrix whose columns are $T(1,0)$ and $T(0,1)$.
  – Gerry Myerson
  Aug 3 at 23:12
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  4
  

  
  
  
  
  
  

  
  You will get much better, more helpful answers, if you edit your question to tell us what you already know about this situation. How familiar are you with rotation and reflection matrices? If the question only asked for one transformation rather than two, would you know what to do?
  – G Tony Jacobs
  Aug 3 at 22:26
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  ah sorry, my bad
  – Doan Van Thang
  Aug 3 at 22:31
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  Do you know what a matrix is, at all? And how it is related to linear maps?
  – Arnaud Mortier
  Aug 3 at 22:35
  

  
  
  
  


• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  The matrix of $T$ is the matrix whose columns are $T(1,0)$ and $T(0,1)$.
  – Gerry Myerson
  Aug 3 at 23:12
  

  
  
  
  

4

4

You will get much better, more helpful answers, if you edit your question to tell us what you already know about this situation. How familiar are you with rotation and reflection matrices? If the question only asked for one transformation rather than two, would you know what to do?
– G Tony Jacobs
Aug 3 at 22:26

You will get much better, more helpful answers, if you edit your question to tell us what you already know about this situation. How familiar are you with rotation and reflection matrices? If the question only asked for one transformation rather than two, would you know what to do?
– G Tony Jacobs
Aug 3 at 22:26

ah sorry, my bad
– Doan Van Thang
Aug 3 at 22:31

ah sorry, my bad
– Doan Van Thang
Aug 3 at 22:31

1

1

Do you know what a matrix is, at all? And how it is related to linear maps?
– Arnaud Mortier
Aug 3 at 22:35

Do you know what a matrix is, at all? And how it is related to linear maps?
– Arnaud Mortier
Aug 3 at 22:35

1

1

The matrix of $T$ is the matrix whose columns are $T(1,0)$ and $T(0,1)$.
– Gerry Myerson
Aug 3 at 23:12

The matrix of $T$ is the matrix whose columns are $T(1,0)$ and $T(0,1)$.
– Gerry Myerson
Aug 3 at 23:12

add a comment | 

1 Answer
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accepted

The matrix for rotation is $$begin pmatrix-1&0\0&-1endpmatrix$$ and the matrix for reflection through x-axis is $$begin pmatrix1&0\0&-1endpmatrix$$

Thus the composite transformation will have the matrix $$begin pmatrix1&0\0&-1endpmatrixbegin pmatrix-1&0\0&-1endpmatrix=begin pmatrix-1&0\0&1endpmatrix$$

share|cite|improve this answer

answered Aug 3 at 23:12

Mohammad Riazi-Kermani

27k41850

add a comment | 

1 Answer
1

active

oldest

votes

1 Answer
1

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
0
down vote



accepted

The matrix for rotation is $$begin pmatrix-1&0\0&-1endpmatrix$$ and the matrix for reflection through x-axis is $$begin pmatrix1&0\0&-1endpmatrix$$

Thus the composite transformation will have the matrix $$begin pmatrix1&0\0&-1endpmatrixbegin pmatrix-1&0\0&-1endpmatrix=begin pmatrix-1&0\0&1endpmatrix$$

share|cite|improve this answer

answered Aug 3 at 23:12

Mohammad Riazi-Kermani

27k41850

add a comment | 

up vote
0
down vote



accepted

The matrix for rotation is $$begin pmatrix-1&0\0&-1endpmatrix$$ and the matrix for reflection through x-axis is $$begin pmatrix1&0\0&-1endpmatrix$$

Thus the composite transformation will have the matrix $$begin pmatrix1&0\0&-1endpmatrixbegin pmatrix-1&0\0&-1endpmatrix=begin pmatrix-1&0\0&1endpmatrix$$

share|cite|improve this answer

answered Aug 3 at 23:12

Mohammad Riazi-Kermani

27k41850

add a comment | 

up vote
0
down vote



accepted

up vote
0
down vote



accepted

The matrix for rotation is $$begin pmatrix-1&0\0&-1endpmatrix$$ and the matrix for reflection through x-axis is $$begin pmatrix1&0\0&-1endpmatrix$$

Thus the composite transformation will have the matrix $$begin pmatrix1&0\0&-1endpmatrixbegin pmatrix-1&0\0&-1endpmatrix=begin pmatrix-1&0\0&1endpmatrix$$

share|cite|improve this answer

answered Aug 3 at 23:12

Mohammad Riazi-Kermani

27k41850

The matrix for rotation is $$begin pmatrix-1&0\0&-1endpmatrix$$ and the matrix for reflection through x-axis is $$begin pmatrix1&0\0&-1endpmatrix$$

Thus the composite transformation will have the matrix $$begin pmatrix1&0\0&-1endpmatrixbegin pmatrix-1&0\0&-1endpmatrix=begin pmatrix-1&0\0&1endpmatrix$$

share|cite|improve this answer

answered Aug 3 at 23:12

Mohammad Riazi-Kermani

27k41850

share|cite|improve this answer

share|cite|improve this answer

answered Aug 3 at 23:12

Mohammad Riazi-Kermani

27k41850

answered Aug 3 at 23:12

Mohammad Riazi-Kermani

27k41850

answered Aug 3 at 23:12

Mohammad Riazi-Kermani

27k41850

27k41850

add a comment | 

add a comment |