Question

Which products can be found by matrix

multiplication?
OAB
OBA
DCB
OCD
ODC
ODE
O EF
DONE
A=
α₁
C = [c₁₁ €₁₂]
E=
e]
11 12 13
²21 22 23
B=
b₁₁
b₁2
[1₂₁ 1₂2]
[d₁₁d₂]
D=d₂ d
[de de
[f₁1 f12 £13]
F = 21 22 23
[f31 f32f3]

Answer 1

Products that can be found by matrix multiplication are:

OAB

OBA

OCD

ODC

ODE

OEF

Note that DCB cannot be computed because the dimensions of C and D are not compatible for matrix multiplication. The product DONE is not a valid product.