Matrices and permutations

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June 2nd 2010, 10:57 AM
doomgaze

Matrices and permutations

I've been going over some review for some placement test I have to take, I've never done anything with Matrices (I think that's the plural for Matrix, haha) and I'm ruuuuusty on solving permutations:
http://img203.imageshack.us/img203/9871/confusek.jpg

I don't think these are particularly difficult, I'm just slow in the subjects..Thanks for anyone who can clarify
June 2nd 2010, 12:08 PM
harish21

Quote:

Originally Posted by doomgaze

I've been going over some review for some placement test I have to take, I've never done anything with Matrices (I think that's the plural for Matrix, haha) and I'm ruuuuusty on solving permutations:
http://img203.imageshack.us/img203/9871/confusek.jpg

I don't think these are particularly difficult, I'm just slow in the subjects..Thanks for anyone who can clarify

$|A|$ means the determinant of a matrix. For a 2x2 matrix, that is a matrix with 2 rows and 2 columns:
$\left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

the determinant is $|A| = ad-bc$ .

And if the determinant is zero, the matrix does not have an inverse.
June 2nd 2010, 12:14 PM
harish21

(34) if you are considering the ways in which the committee of 3 people is chosen without order

$7C3 = \frac{7!}{3!(7-3)!} = \frac{7!}{3! \times 4!}$
June 2nd 2010, 05:11 PM
doomgaze

Quote:

Originally Posted by harish21

(34) if you are considering the ways in which the committee of 3 people is chosen without order

$7C3 = \frac{7!}{3!(7-3)!} = \frac{7!}{3! \times 4!}$

so you take the total amount of people then divide (total - the # of people per group) ?
June 3rd 2010, 07:41 AM
harish21

Quote:

Originally Posted by doomgaze

so you take the total amount of people then divide (total - the # of people per group) ?

We are NOT taking the total amount/number of people here. The exclamation mark ! that you see after the numbers is called factorial.

7!= 1*2*3....*7
3!= 1*2*3
4!= 1*2*3*4

To know how this formula comes, you need to study permutations and combinations..Google it.

This link might be useful
June 4th 2010, 05:41 AM
doomgaze

Quote:

Originally Posted by harish21

We are NOT taking the total amount/number of people here. The exclamation mark ! that you see after the numbers is called factorial.

7!= 1*2*3....*7
3!= 1*2*3
4!= 1*2*3*4

To know how this formula comes, you need to study permutations and combinations..Google it.

This link might be useful

Yeah I knew they were factorials, I guess I just didn't express it when I was trying to explain what I thought you said.

Thanks for the link, it is clearing things up.