Semaine 2 Flashcards
What is an homogenous system?
An homogenous system can be written in the form AX=0
What is a trivial solution?
AX=0
What is an homogenous equation?
AX=B
What does it means to be linearly independent?
To have a homogenous system, trivial solution. The vectors are not a linear combinations (multiple) of each other
What does it means to be linearly independent?
Inhomogenous system. A vector is a linear combination of the others.
3 conditions to not be linearly independent?
more vectors han there are entries
the zero vector is in the set
one vector is a linear combination of the others
What is the domain and codomain of a matrix 2X5
Domain = 5 codomain= 2
What is the domain of T (linear transformation?
R^n where n are numbers of colums
What is the domain of T (linear transformation?
R^m where n are numbers of rows
What is a shear transformation?
R^2 – R^2
iF T is a linear transformation
T(0)=0
T(C*u+v) = T(u) + T(v)
a transformation is linear if
T(u+v) = T(u) + T(v)
