anonymous
  • anonymous
Find the value
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
anonymous
  • anonymous
@jim_thompson5910 how do i do this?
jim_thompson5910
  • jim_thompson5910
|dw:1443914556285:dw|

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

jim_thompson5910
  • jim_thompson5910
the vertical bars mean "determinant"
anonymous
  • anonymous
So how would I find the value?
jim_thompson5910
  • jim_thompson5910
step 1) copy the first 2 columns and write them to the right of the vertical bar |dw:1443914670674:dw|
anonymous
  • anonymous
Ok and then what?
jim_thompson5910
  • jim_thompson5910
step 2) group up the elements into subgroups by circling the elements along the diagonals like this (see circled) |dw:1443914609410:dw|
jim_thompson5910
  • jim_thompson5910
step 3) multiply out the numbers in the sub groups |dw:1443914648908:dw|
jim_thompson5910
  • jim_thompson5910
step 4) add up those products 6+0+(-3)=3 We'll use this number later. Let's call this "sum A"
jim_thompson5910
  • jim_thompson5910
step 5) this is very similar to step 2, but now we're circling these diagonals (see below) |dw:1443914771771:dw|
jim_thompson5910
  • jim_thompson5910
step 6) multiply out the numbers in the sub groups |dw:1443914811735:dw|
jim_thompson5910
  • jim_thompson5910
step 7) add up those products 0+1+(-18)=-17 We'll use this number later. Let's call this "sum2"
jim_thompson5910
  • jim_thompson5910
sorry sum B, but I guess it doesn't matter as long as you're consistent
jim_thompson5910
  • jim_thompson5910
step 8 (final step) subtract the two sums sum A - sum B = 3 - (-17) = 3 + 17 = 20 so the determinant of this matrix is 20
anonymous
  • anonymous
Value = determinant right? Same thing?
jim_thompson5910
  • jim_thompson5910
hmm I messed up somewhere, let me think
jim_thompson5910
  • jim_thompson5910
oh nvm, I just typed it into the calc wrong
anonymous
  • anonymous
Ok so the final answer (value) is 20?
jim_thompson5910
  • jim_thompson5910
\[\Large \left|\begin{array}{ccc}1&2&-1\\3&-2&1\\0&1&-3\end{array}\right| = 20\] i.e., the determinant of this matrix is 20
anonymous
  • anonymous
thx

Looking for something else?

Not the answer you are looking for? Search for more explanations.