Check out these becoming new images:

**New Orleans – CBD: Lafayette Square – McDonogh Monument**

*Image by wallyg*

**New England lobster roll – Golden Fields AUD15**

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Jan 192012

Jan 092012

Dec 132011

*Question by lowbrasskicksass*: How do you complete a magic square with unknowns in it with matrices and linear algebra?

I have a magic matrix with 6 unknowns:

1 a -2

b 4 c

d e f

How would you get/What would the matrix be that represents this that could be row-reduced to solve?

Thank you for any help!

**Best answer:**

*Answer by Piyush*

notice that if a matrix M is a magic square, then xM+y will also be a magic square (for a and be bee two real numbers).

the 3×3 magic square is

4 9 2

3 5 7

8 1 6

with all it’s possible permutations (actually 8, 4 if you rotate the square by 90 degrees, and if you flip the matrix, 4 more)

in all these, 5 will always be in middle position, so 4x+y=5

similarly try making equations (x+y= sth and -2x+y= sth) for all these 8 cases, and the one which gives you a unique value of x and y is solution

I hope it helps

**Add your own answer in the comments!**

Jun 172011

Check out these cultural shift images:

**3 Monument Angels, Martyrs’ Square – Place des Martyrs – Martelaarsplaats 2**

*Image by historic.brussels*

**Flanders Prime Minister’s office, Martyrs’ Square – Place des Martyrs – Martelaarsplaats 3**

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Apr 122011

A few nice cultural shift images I found:

**Angel sculpture, Martyrs’ Square – Place des Martyrs – Martelaarsplaats 3**

*Image by historic.brussels*

**Milestone 55**

*Image by fdecomite*

Apr 052011

**Chemists produce first high-resolution ‘nano square’**

Chemists at UC San Diego have produced the first high resolution structure of a nano-scale square made from ribonucleic acid, or RNA. The structure was published in a paper in this week’s early online edition of the journal Proceedings of the National Academy of Sciences by a team of chemists headed by Thomas Hermann, an assistant professor of chemistry and biochemistry at UC San Diego.

*Read more on UC Newsroom*

**Microreactors: Small scale chemistry could lead to big improvements for biodegradable polymers**

( National Institute of Standards and Technology (NIST) ) Using a small block of aluminum with a tiny groove carved in it, a team of researchers from NIST and New York University is developing an improved “green chemistry” method for making biodegradable polymers. A prime example of the value of microfluidics, a technology more commonly associated with inkjet printers and medical diagnostics, to …

*Read more on EurekAlert!*

Jun 302010

Merlin on eBay:

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