course | course_year | question_number | tags | title | year | |||
---|---|---|---|---|---|---|---|---|
Linear Algebra |
IB |
41 |
|
Paper 4, Section II, G |
2009 |
What does it mean to say two real symmetric bilinear forms
State and prove Sylvester's law of inertia, and deduce that the rank and signature determine the congruence class of a real symmetric bilinear form. [You may use without proof a result on diagonalisability of real symmetric matrices, provided it is clearly stated.]
How many congruence classes of symmetric bilinear forms on a real
a bounded or unbounded subset of