The British are Coming!
Trivia brain teasers have some element of trivia in them, but they are not just pure trivia questions.
Matrices were used very often as codes during WWII. It was an excellent way to encode secret messages. Unless someone has the matrix with which to decode the other matrices it would be nearly impossible to uncode the message. Lucky for you, you have all the information you need to decode the message. Let's see if you can!
Your main matrix is:
[3 2]
[ 4 3]
Decode the message:
11, 12, 15, 10, 3, 0, 8, 6, 75, 50, 32, 21, 26, 16, 80, 60, 9, 1, 36, 27, 18, 12, 94, 71, 76, 57, 11, 7.  44, 29, 15, 6, 72, 54, 73, 56, 57, 44, 15, 10.
HintLook at the title.
Hide
Answer
One if by land, two if by sea.  Paul Revere.
You were given a 2x2 matrix (rows x columns). Since it has two rows, you will need to group the code in matrices of 1x2. This gives you:
[11 12][15 10][3 0][8 6][75 50][32 21][26 16][80 60][9 1][36 27][18 12][94 71][76 57][11 7].  [44 29][15 6][72 54 ][73 56][57 44][15 10].
From here you need to proceed by multiplying each of these matrices by the inverse of your main matrix. To find the inverse you first will need to find your determinate. To do this you multiply the top right and bottom left numbers and subtract it from the product of the top left and bottom right numbers. Your determinate is 1. 1 is then multiplied by each integer in your matrix, giving you:
[ 3 2]
[4 3]
You then proceed to switch the top left and bottom right numbers and reverse the sign on your other two numbers. From here you multiply each of the numbers in the matrix by your determinate. Your new matrix is:
[3 2]
[ 4 3]
You need to multiply the two numbers in the 1x2 matrices by the first two integers in your 2x2 main matrix. For example:
[11 12]
*
[3 2]
[ 4 3]
You would need to take [11*3 + 12*4 11*2 + 12*3]. You would get [15 14]. If you proceed using the same process through all of the 1x2 matrices, your new code would be:
[15 14][5 0][9 6][0 2][25 0][12 1][14 4][0 20][23 15][0 9][6 0][2 25][0 19][5 1].  [16 1][21 12][0 18][5 22][5 18][5 0].
Each number represents its corresponding letter, for example A=1, B=2, C=3, etc. All you need to do then is substitute each number with its corresponding letter to get your answer.
Hide
Comments
solarsistim321
Aug 19, 2009
 Whew! Second worst teaser on the site!! Not half bad 
unklemyke
Sep 01, 2009
 How is this trivia? Seems to me it wants to be in Math or Cryptography, nein? 
nidhikaila
Dec 09, 2009
 superb teaser! like a morning cup of coffee... :) 
MusiK
Dec 21, 2009
 Wow I think my brain just exploded
I'm no good with this sort of stuff
but otherwise, correct if I'm wrong, but I thought that Paul Revere didn't really say the wellknown phrase in the title 
Marple
Aug 25, 2010
 who is paul revere? 
MagicPurple
Sep 09, 2011
 what's the worst teaser then?
I thought this was the Trick category, so when it said look at the title, I thought the answer was the title. 
Back to Top
 
