Quadratice Forms and Symmectic Matrix

[helenli89]

Questions are attached.
Don't really understand what question 4 is asking.

 

[Denis]

How do you expect that to be taught here?

 

[daon]

There's really to much to say.

I'll just hint to you what its asking.

4a) Show that the inner product can be written as a linear combination of the inner products of the basis vectors. The standard basis is orthonormal and hence <ei,ej> = 0 if i is not equal to j.

4b) Show that an inner product may be written as the first vector (written as a column vector) times the given matrix times the second vector. The T means transpose.

4 c & d would require a good amount of time to go through. I suggest you flip back to the section on eigen vectors and then basis.