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Mathematics 12 Online
OpenStudy (anonymous):

.

jimthompson5910 (jim_thompson5910):

are you able to find the inverse matrix?

jimthompson5910 (jim_thompson5910):

ok glad you figured it out

OpenStudy (anonymous):

could you help me with this other one though I think I got it but I'm not sure

jimthompson5910 (jim_thompson5910):

one sec

jimthompson5910 (jim_thompson5910):

that is not correct since it should be a 9x2 matrix

jimthompson5910 (jim_thompson5910):

what did you get when you replaced all of the letters with their numerical equivalents?

jimthompson5910 (jim_thompson5910):

so you should have this 2x9 matrix (sorry there was an earlier typo where I said 9x2, I meant 2x9) \[\Large \begin{bmatrix} 15 & 14 & 5 & 0 & 17 & 21 & 5 & 19 & 20\\ 9 & 15 & 14 & 0 & 20 & 15 & 0 & 7 & 15 \end{bmatrix} \]

jimthompson5910 (jim_thompson5910):

you would then multiply that 2x2 matrix by the matrix I just posted

jimthompson5910 (jim_thompson5910):

so you need to compute \[\Large \begin{bmatrix} 1 & -2\\ -3 & 7 \end{bmatrix} \begin{bmatrix} 15 & 14 & 5 & 0 & 17 & 21 & 5 & 19 & 20\\ 9 & 15 & 14 & 0 & 20 & 15 & 0 & 7 & 15 \end{bmatrix} \]

jimthompson5910 (jim_thompson5910):

first do you know how big the answer matrix will be?

jimthompson5910 (jim_thompson5910):

what's the size of the left matrix?

jimthompson5910 (jim_thompson5910):

how about the right?

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

let's call the left matrix A and the right matrix B

jimthompson5910 (jim_thompson5910):

matrix AB (A times B) is only defined if the number of columns in A matches with the number of rows in B |dw:1397532499278:dw|

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