Find the Matrix X and Y

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$text Find the matrix X text and Y , text if X + Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] text and X - Y = left[ beginarray c c 3 & 6 \ 0 & - 1 endarray right]$

Adding 1 and 2

$x + y +x-y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] + left[ beginarray l l 3 & 6 \ 0 & - 1 endarray right]$

$2 x = frac 1 2 left[ beginarray l l 8 & 8 \ 0 & 8 endarray right]$

$x = left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$

to Find Y

$left[ beginarray l l 1 & 4 \ 0 & 4 endarray right] + y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right]$

$y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$

$y = left[ beginarray l l 1 & 2 \ 0 & 3 endarray right]$

so $x = left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$ and $y = left[ beginarray l l 1 & 2 \ 0 & 3 endarray right]$ is this correct or not ?

matrix-equations

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asked Sep 8 at 15:58

Gaurav Singh

697

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Slightly offtopic: $x$ and $X$ are two different variables, as are $y$ and $Y$.
  – Teepeemm
  Sep 8 at 19:27
  

  
  
  
  

add a comment | 

up vote
1
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favorite

$text Find the matrix X text and Y , text if X + Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] text and X - Y = left[ beginarray c c 3 & 6 \ 0 & - 1 endarray right]$

Adding 1 and 2

$x + y +x-y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] + left[ beginarray l l 3 & 6 \ 0 & - 1 endarray right]$

$2 x = frac 1 2 left[ beginarray l l 8 & 8 \ 0 & 8 endarray right]$

$x = left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$

to Find Y

$left[ beginarray l l 1 & 4 \ 0 & 4 endarray right] + y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right]$

$y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$

$y = left[ beginarray l l 1 & 2 \ 0 & 3 endarray right]$

so $x = left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$ and $y = left[ beginarray l l 1 & 2 \ 0 & 3 endarray right]$ is this correct or not ?

matrix-equations

share|cite|improve this question

asked Sep 8 at 15:58

Gaurav Singh

697

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Slightly offtopic: $x$ and $X$ are two different variables, as are $y$ and $Y$.
  – Teepeemm
  Sep 8 at 19:27
  

  
  
  
  

add a comment | 

up vote
1
down vote

favorite

up vote
1
down vote

favorite

$text Find the matrix X text and Y , text if X + Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] text and X - Y = left[ beginarray c c 3 & 6 \ 0 & - 1 endarray right]$

Adding 1 and 2

$x + y +x-y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] + left[ beginarray l l 3 & 6 \ 0 & - 1 endarray right]$

$2 x = frac 1 2 left[ beginarray l l 8 & 8 \ 0 & 8 endarray right]$

$x = left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$

to Find Y

$left[ beginarray l l 1 & 4 \ 0 & 4 endarray right] + y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right]$

$y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$

$y = left[ beginarray l l 1 & 2 \ 0 & 3 endarray right]$

so $x = left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$ and $y = left[ beginarray l l 1 & 2 \ 0 & 3 endarray right]$ is this correct or not ?

matrix-equations

share|cite|improve this question

asked Sep 8 at 15:58

Gaurav Singh

697

$text Find the matrix X text and Y , text if X + Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] text and X - Y = left[ beginarray c c 3 & 6 \ 0 & - 1 endarray right]$

Adding 1 and 2

$x + y +x-y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] + left[ beginarray l l 3 & 6 \ 0 & - 1 endarray right]$

$2 x = frac 1 2 left[ beginarray l l 8 & 8 \ 0 & 8 endarray right]$

$x = left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$

to Find Y

$left[ beginarray l l 1 & 4 \ 0 & 4 endarray right] + y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right]$

$y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$

$y = left[ beginarray l l 1 & 2 \ 0 & 3 endarray right]$

so $x = left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$ and $y = left[ beginarray l l 1 & 2 \ 0 & 3 endarray right]$ is this correct or not ?

matrix-equations

share|cite|improve this question

asked Sep 8 at 15:58

Gaurav Singh

697

share|cite|improve this question

share|cite|improve this question

asked Sep 8 at 15:58

Gaurav Singh

697

asked Sep 8 at 15:58

Gaurav Singh

697

asked Sep 8 at 15:58

Gaurav Singh

697

697

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Slightly offtopic: $x$ and $X$ are two different variables, as are $y$ and $Y$.
  – Teepeemm
  Sep 8 at 19:27
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  Slightly offtopic: $x$ and $X$ are two different variables, as are $y$ and $Y$.
  – Teepeemm
  Sep 8 at 19:27
  

  
  
  
  

Slightly offtopic: $x$ and $X$ are two different variables, as are $y$ and $Y$.
– Teepeemm
Sep 8 at 19:27

Slightly offtopic: $x$ and $X$ are two different variables, as are $y$ and $Y$.
– Teepeemm
Sep 8 at 19:27

add a comment | 

2 Answers
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You have several errors. The most critical one is while calculating $y$:
$$y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right] = left[ beginarray l l 1 & -2 \ 0 & 5 endarray right]$$

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answered Sep 8 at 16:03

gunes

1943

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up vote
3
down vote

You have the right ideas but I see multiple mistakes.

$$X+Y+X-Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] + left[ beginarray l l 3 & 6 \ 0 & - 1 endarray right]$$

$$2 X = colorred1 cdot left[ beginarray l l 8 & 8 \ 0 & 8 endarray right]$$

$$X = left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$$

to Find $Y$

$$beginbmatrix colorred4 & 4 \ 0 & 4 endbmatrix + y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right]$$

$$Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$$

$$Y = left[ beginarray l l 1 & colorred-2 \ 0 & colorred5 endarray right]$$

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answered Sep 8 at 16:05

Siong Thye Goh

81.2k1453103

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2 Answers
2

active

oldest

votes

2 Answers
2

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
3
down vote

You have several errors. The most critical one is while calculating $y$:
$$y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right] = left[ beginarray l l 1 & -2 \ 0 & 5 endarray right]$$

share|cite|improve this answer

answered Sep 8 at 16:03

gunes

1943

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gunes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

add a comment | 

up vote
3
down vote

You have several errors. The most critical one is while calculating $y$:
$$y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right] = left[ beginarray l l 1 & -2 \ 0 & 5 endarray right]$$

share|cite|improve this answer

answered Sep 8 at 16:03

gunes

1943

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gunes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

add a comment | 

up vote
3
down vote

up vote
3
down vote

You have several errors. The most critical one is while calculating $y$:
$$y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right] = left[ beginarray l l 1 & -2 \ 0 & 5 endarray right]$$

share|cite|improve this answer

answered Sep 8 at 16:03

gunes

1943

New contributor

gunes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

You have several errors. The most critical one is while calculating $y$:
$$y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right] = left[ beginarray l l 1 & -2 \ 0 & 5 endarray right]$$

share|cite|improve this answer

answered Sep 8 at 16:03

gunes

1943

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gunes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

share|cite|improve this answer

share|cite|improve this answer

answered Sep 8 at 16:03

gunes

1943

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gunes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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answered Sep 8 at 16:03

gunes

1943

answered Sep 8 at 16:03

gunes

1943

1943

New contributor

gunes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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New contributor

gunes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

gunes is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.

add a comment | 

add a comment | 

up vote
3
down vote

You have the right ideas but I see multiple mistakes.

$$X+Y+X-Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] + left[ beginarray l l 3 & 6 \ 0 & - 1 endarray right]$$

$$2 X = colorred1 cdot left[ beginarray l l 8 & 8 \ 0 & 8 endarray right]$$

$$X = left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$$

to Find $Y$

$$beginbmatrix colorred4 & 4 \ 0 & 4 endbmatrix + y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right]$$

$$Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$$

$$Y = left[ beginarray l l 1 & colorred-2 \ 0 & colorred5 endarray right]$$

share|cite|improve this answer

answered Sep 8 at 16:05

Siong Thye Goh

81.2k1453103

add a comment | 

up vote
3
down vote

You have the right ideas but I see multiple mistakes.

$$X+Y+X-Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] + left[ beginarray l l 3 & 6 \ 0 & - 1 endarray right]$$

$$2 X = colorred1 cdot left[ beginarray l l 8 & 8 \ 0 & 8 endarray right]$$

$$X = left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$$

to Find $Y$

$$beginbmatrix colorred4 & 4 \ 0 & 4 endbmatrix + y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right]$$

$$Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$$

$$Y = left[ beginarray l l 1 & colorred-2 \ 0 & colorred5 endarray right]$$

share|cite|improve this answer

answered Sep 8 at 16:05

Siong Thye Goh

81.2k1453103

add a comment | 

up vote
3
down vote

up vote
3
down vote

You have the right ideas but I see multiple mistakes.

$$X+Y+X-Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] + left[ beginarray l l 3 & 6 \ 0 & - 1 endarray right]$$

$$2 X = colorred1 cdot left[ beginarray l l 8 & 8 \ 0 & 8 endarray right]$$

$$X = left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$$

to Find $Y$

$$beginbmatrix colorred4 & 4 \ 0 & 4 endbmatrix + y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right]$$

$$Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$$

$$Y = left[ beginarray l l 1 & colorred-2 \ 0 & colorred5 endarray right]$$

share|cite|improve this answer

answered Sep 8 at 16:05

Siong Thye Goh

81.2k1453103

You have the right ideas but I see multiple mistakes.

$$X+Y+X-Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] + left[ beginarray l l 3 & 6 \ 0 & - 1 endarray right]$$

$$2 X = colorred1 cdot left[ beginarray l l 8 & 8 \ 0 & 8 endarray right]$$

$$X = left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$$

to Find $Y$

$$beginbmatrix colorred4 & 4 \ 0 & 4 endbmatrix + y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right]$$

$$Y = left[ beginarray l l 5 & 2 \ 0 & 9 endarray right] - left[ beginarray l l 4 & 4 \ 0 & 4 endarray right]$$

$$Y = left[ beginarray l l 1 & colorred-2 \ 0 & colorred5 endarray right]$$

share|cite|improve this answer

answered Sep 8 at 16:05

Siong Thye Goh

81.2k1453103

share|cite|improve this answer

share|cite|improve this answer

answered Sep 8 at 16:05

Siong Thye Goh

81.2k1453103

answered Sep 8 at 16:05

Siong Thye Goh

81.2k1453103

answered Sep 8 at 16:05

Siong Thye Goh

81.2k1453103

81.2k1453103

add a comment | 

add a comment | 

 

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