Matrix identities Flashcards
1
Q
A + B
A
= B + A
2
Q
(A + B) + C
A
= A + (B + C)
3
Q
k(A + B)
A
= kA + kB
4
Q
AB (generally)
A
doesn’t = BA
5
Q
(AB)C
A
= A(BC)
6
Q
A(B + C)
A
= AB + AC
7
Q
AA
A
= A^2
8
Q
(A’)’
A
=A
9
Q
(A + B)’
A
= A’ + B’
10
Q
(kA)’
A
= kA’
11
Q
(AB)’
A
=B’A’
12
Q
AIor IA
A
=A
13
Q
AA^-1
A
= I
14
Q
4 Matrices to remember
A
Reflection in x axis, clockwise rotation, anti-clockwise rotation and dilation
15
Q
Reflection in x axis matrix
A
(Cos2Ø Sin2Ø)
(Sin2Ø -Cos2Ø)
