Machine Learning Foundations
Week 3: Open Session
- \(x=(1, 2, 3)\)
- \(y=(1,-1,1)\)
The linear combinations of \(v = (1, 1, 0)\) and \(w = (0, 1, 1)\) fill a plane in \(\mathbb R^3\).
- Find a vector that is not a combination of \(v\) and \(w\) (i.e. not on the plane).
- Find a vector perpendicular to that plane
For the vectors \(v = ( 3, 4)\) and \(w = ( 4, 3)\) test the Cauchy-Schwarz inequality and find whether they satisfy or not.
True or false.
- The vectors \(b\) that are not in the column space \(C(A)\) form a subspace.
- If \(C(A)\) contains only the zero vector, then \(A\) is the zero matrix.
- The column space of \(2A\) equals the column space of \(A\).
- The column space of \(A - I\) equals the column space of \(A\).
False
False
True
True
Do you know him?
Alan Mathison Turing
Turing test, an attempt to define a standard for a machine to be called "intelligent".
John McCarthy
The term artificial intelligence was first coined in 1956 at the Dartmouth conference organized by him.