Thread:Tuner King 5/@comment-28838092-20140809023004

Dimensions = Height x Length

Transpose: ( E^T )

[A, C] ====> [A, B]

[B, D] ====> [C, D]

[A, B] ====> [A]

=
> [B]

[A, D, G] =====> [A, B, C]

[B, E, H ]=====> [D, E, F]

[C, F, I ] =====>[ G, H, I]

[A]

[B ]====> [A, B, C]

[C]

[A ,C, E] ====> [A, B]

[B, D, F] ====> [C, D]

=
> [E, F]

[A, B ]=======> [A, C, E]

[C, D] =======>[ B, D, F]

[E, F]

Multiplying Matrices: ( X^Y)

[A, C] x [E] = [A * E + C * F] = [G]

[B, D] x [F] = [B * E + D * F] = [H]

Defined and Undefined: ( S * S )

[5, 6] = Yes

[3, 1]

[2] = No

[5]

Determinant: ( 2 * 2 )

[A, B] = ad - bc = [E]

[C, D]

Inverse: ( E^-1 ) ( 2 * 2 )

[A, B ]====> [D, -B]

[C, D ]====>[ -C, A]

=

[A, B] = ad - bc =[ F]

[C, D]

=

1F * D, -B ====> d/f, -b/f

>-C, A
> -c/f, a/f

Determinant: ( 3 * 3 )

[A, B, C]

[D, E, F] = a[ e, f ] - b[ d, f ] + c[ d, e ]

[G, H, I] = [ h, i ] [ g, i ] [ g , h ]

=

a(ei - fh) - b(di - fg) + c(dh - eg) => Simplify => One Number Variable 