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Mathematics 18 Online
OpenStudy (anonymous):

Really need help... Honestly, I am so lost. .__. http://tinypic.com/r/10fq2w6/9

jimthompson5910 (jim_thompson5910):

you wrote `2 x 3` but you have it the other way around. It should be `3 x 2` the first number is the number of rows. In this case, there are 3 rows The second number is the number of columns, which is 2

OpenStudy (anonymous):

Ohhh! I see now, on that first one! 3 x 2 I got it backwards

jimthompson5910 (jim_thompson5910):

if you wanted a 2 x 3 matrix, then here's one example \[\Large \begin{bmatrix}1 & 9 & 14\\3 & 2 & 1\end{bmatrix}\] this has 2 rows, 3 columns

OpenStudy (anonymous):

I am not sure of the second one... I thought it would be 3 x 3?

jimthompson5910 (jim_thompson5910):

for #2, the notation `D12` means "the element in row 1, column 2" D12 is sometimes written as \(\LARGE D_{1,2}\)

OpenStudy (anonymous):

Uhhh... I don't get it... > >' I don't get what it is asking for the answer...

jimthompson5910 (jim_thompson5910):

Let's say we had this matrix as an example \[ \Large A = \begin{bmatrix} \Large 2 & 3\\ \Large 1 & 5\\ \Large 7 & 9 \end{bmatrix} \]

OpenStudy (anonymous):

The ones in the second question look differently than that. They are in like... um... 0 -2 3 1 -5 2

jimthompson5910 (jim_thompson5910):

I'm going to highlight in red, the element \(\LARGE A_{2,1}\) \[ \Large A = \begin{bmatrix} \Large 2 & 3\\ \Large {\color{red}{1}} & 5\\ \Large 7 & 9 \end{bmatrix} \] Notice how this red element is in row 2, column 1

jimthompson5910 (jim_thompson5910):

now onto row 1, column 2 marked in blue \[ \Large A = \begin{bmatrix} \Large 2 & \color{blue}{3}\\ \Large {\color{red}{1}} & 5\\ \Large 7 & 9 \end{bmatrix} \] we denote this as \(\LARGE A_{1,2}\)

jimthompson5910 (jim_thompson5910):

Is this making sense?

OpenStudy (anonymous):

Not really. :C I am sorry...

jimthompson5910 (jim_thompson5910):

in my example, what numbers are in row 3

OpenStudy (anonymous):

Ummm 7 and 9?

jimthompson5910 (jim_thompson5910):

7 is in column 1, 9 is in column 2 agreed?

OpenStudy (anonymous):

Umm.. Yes! Yes they are :D

OpenStudy (anonymous):

I just don't get the D12... 1, 2? Row 1, column 2...? That would be number 1 I think

jimthompson5910 (jim_thompson5910):

so the notation \(\LARGE A_{3,1}\) refers to the address of the number at row 3, column 1 which is 7 in this case. So we say \(\LARGE A_{3,1} = 7\) since "7" is at row 3, column 1

jimthompson5910 (jim_thompson5910):

D12 means you look at row 1, then find the number that is in column 2. Whatever that number is, that's your answer

OpenStudy (anonymous):

I tried entering 1 and it says it is incorrect so I put it as D12 = 1 and then tried D1,2 = 1 and it's not working as the answer... I am confused

jimthompson5910 (jim_thompson5910):

think of a city block of 6 houses their addresses are D11, D12, etc as shown below |dw:1452387887694:dw|

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