April 7th, 2018, 04:25 AM  #11 
Member Joined: Dec 2017 From: Tel Aviv Posts: 85 Thanks: 3  wise component
Where is the component wise in the picture?

April 7th, 2018, 02:50 PM  #12 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,089 Thanks: 846 
This must be a language problem! "component wise" isn't a part of a matrix and isn't even a noun. It is an adjective describing how we are talking about the numbers in the matrix. In your example, $\displaystyle \begin{bmatrix}A & B & C \\ D & E & F\\ G & H & I\end{bmatrix}$, each of those letters, representing numbers, is a "component" of the matrix. If I had a sum of two matrices, $\displaystyle \begin{bmatrix}A & B & C \\ D & E & F\\ G & H & I\end{bmatrix}+ \begin{bmatrix} R & S & T \\ U & V & W \\ X & Y & Z \end{bmatrix}$ One of the "components" in the first matrix is A and the corresponding "component" in the other matrix is "R" because they are both in the upper left corner. Their sum is "A+ R" and that number goes in the upper left corner of the sum matrix. The "B" and "S" are corresponding "components". Their sum is B+ S and that sum goes into that same place. The sum of the two matrices above, done 'componentwise' is $\displaystyle \begin{bmatrix}A+ R & B+ S & C+ T \\ D+ U & E+ V & F+ W \\ G+ X & H+ Y & I+ Z \end{bmatrix}$ 
April 7th, 2018, 03:02 PM  #13 
Senior Member Joined: Sep 2015 From: USA Posts: 1,847 Thanks: 953 
Why do you all continue to humor these two? They post a question that can easily be answered on google every bleeding day and you all treat them as if they were posing the questions of the spheres. If they actually gave a damn about learning they'd spend their time reading rather than posting inane questions. 
April 7th, 2018, 10:30 PM  #14 
Member Joined: Dec 2017 From: Tel Aviv Posts: 85 Thanks: 3 
I don't think that google can give me an answer like how Country Boy answer. And fine I use google and I was confused. Insteed of quoteing google result and flow the forum It Is Very Helpful to get a purpose answer. 
April 10th, 2018, 04:11 AM  #15 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,089 Thanks: 846 
I did post "pictures" go back and look at post #2.


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