matrices Flashcards
AB = 2X3 . 3X2
WHAT IS THIS
Conforming
AB does not = BA
what is this
Matrices are not communative
PQ(R) = P(QR) WHAT IS THIS
Distributive
I in matrix form
[1 0]
[0 1]
Rotational matrix
{Cos @ -sin@}
{ sin@ cos@ }
[ C 0]
[0 d]
Stretch parallel to x axis sf of c
Stretch parrel to y axis sf of d
[K 0]
[0 K] transformation?
Englarment with where k is the sf
Sheer in y axis
[ 1 K]
[ 0 1]
Sheer in x axis
[ 1 0]
[ K 1]
Rotations in x axis 3D
[1 0 0 0]
[0 cos @ -sin@]
[0 sin@ cos@]
Rotation in y axis
[Cos @ 0 sin@]
[ 0 1 0 ]
[-sin@ 0 cos @]
Rotation in z axis
[ cos @ -sin@ 0]
[ sin@ cos @ 0]
[ 0 0 1]
Reflection in x plane
[-1 0 0]
[ 0 1 0]
[0 0 1]
Reflection in y plane
[ 1 0 0 ]
[ 0 -1 0]
[ 0 0 1 ]
Reflection in Z plane
[1 0 0 ]
[ 0 1 0 ]
[ 0 0 -1]