/sci/ - Science & Math

>>9067240
>emergent product

I found it.... I found the hand wave!

>>8680999
>dialed it back to 3
>trips

I need help with Waksman's matrix multiplication. I know how to multipication 2x2 matrixes, but now I have to do the same with 4x4 and 8x8. I'm completly lost how to do it. This is how you do it with 2x2.
[a11 a12; a21 a22] X [b11 b12; b21 b22] = [c11 c12; c21 c22]
A1 = ( a11 + b21 ) * ( b11 + a12 )
A2 = ( a11 + b22 ) * ( b12 + a12 )
A3 = ( a21 + b21 ) * ( b11 + a22 )
A4 = ( a21 + b22 ) * ( b12 + a22 )
C1 = ( a11 - b21 ) * ( b11 - a12 )
C2 = ( a11 - b22 ) * ( b12 - a12 )
C3 = ( a21 - b21 ) * ( b11 - a22 )
B1 = 1 over 2( A1 - C1 )
B2 = 1 over 2( A2 - C2 )
B3 = 1 over 2( A3 - C3 )
B4 = B2 + B3 - B1
c11 = A1 - B1
c12 = A2 - B2
c21 = A3 - B3
c22 = A4 - B4

For 4x4 multiplication, I tried to put 8 2x2 matrixes to those patterns like:

a11 = [a111 a112; a211 a212]
and so on... but it didn't work... will be glad for any help with this shit.

I need help with Waksman's matrix multiplication. I know how to multipication 2x2 matrixs, but now I have do the same with 4x4, 8x8. I competly lost how to do it. This is how you do it with 2x2.
a11 a12 b11 b12 c11 c12
X =
a21 a22 b21 b22 c21 c22

A1 = ( a11 + b21 ) * ( b11 + a12 )
A2 = ( a11 + b22 ) * ( b12 + a12 )
A3 = ( a21 + b21 ) * ( b11 + a22 )
A4 = ( a21 + b22 ) * ( b12 + a22 )
C1 = ( a11 - b21 ) * ( b11 - a12 )
C2 = ( a11 - b22 ) * ( b12 - a12 )
C3 = ( a21 - b21 ) * ( b11 - a22 )
B1 = 1 over 2( A1 - C1 )
B2 = 1 over 2( A2 - C2 )
B3 = 1 over 2( A3 - C3 )
B4 = B2 + B3 - B1
c11 = A1 - B1
c12 = A2 - B2
c21 = A3 - B3
c22 = A4 - B4

For 4x4 multiplication, I tried to put 8 2x2 matrixes to those patterns like:

a11 = a111 a112;a211 a212
and so on... but it didn't work... will be glad for any help with this shit.