Exercise 05
Please attempt all of the following problems before the due date. Your grade
on this assignment will be calculated from the best two answers.
Problem 05.1
Consider the following two dierent families of coordinate transformations
0
on Minkowski
Exercise 01
Please attempt all of the following problems before the due date. Your grade
on this assignment will be calculated from the best two answers.
Problem 01.1
Two ships are tracking an aircraft on their respective radars. Each radar
provides the r
Exercise 03
Please attempt all of the following problems before the due date. Your grade on this assignment will be calculated from the best two answers.
Problem 03.1
b ^ (Module 009) Recall the map $ : X ! X de.ned for any v X by $ (v) = v$ where the for
Exercise 04
Please attempt all of the following problems before the due date. Your grade
on this assignment will be calculated from the best two answers.
Problem 04.1
Use index notation and the summation convention to write each of these
objects in terms
Exercise 02
Please attempt all of the following problems before the due date. Your grade
on this assignment will be calculated from the best two answers.
Problem 02.1
Which of the following functions is homogeneously linear?
a) f : R ! R with f (x) = 4x f
Exercise 04
Please attempt all of the following problems before the due date. Your grade
on this assignment will be calculated from the best two answers.
Problem 04.1
Use index notation and the summation convention to write each of these
objects in terms
Exercise 03
Please attempt all of the following problems before the due date. Your grade on this assignment will be calculated from the best two answers.
Problem 03.1
b ^ (Module 009) Recall the map $ : X ! X de.ned for any v X by $ (v) = v$ where the for
Exercise 02
Please attempt all of the following problems before the due date. Your grade on this assignment will be calculated from the best two answers.
Problem 02.1
(Module 008) Recall that a form
i
is completely described by the numbers = (ei )
that it
Exercise 02
Please attempt all of the following problems before the due date. Your grade on this assignment will be calculated from the best two answers.
Problem 02.1
(Module 008) Recall that a form
i
is completely described by the numbers = (ei )
that it
Exercise 01
Please attempt all of the following problems before the due date. Your grade
on this assignment will be calculated from the best two answers.
Problem 01.1
Two ships are tracking an aircraft on their respective radars. Each radar
provides the r
Exercise 01
Please attempt all of the following problems before the due date. Your grade on this assignment will be calculated from the best two answers.
Problem 01.1
In the notes you nd the following assertion: A set of n linearly independent vectors fe1
Exercise 03
Please attempt all of the following problems before the due date. Your grade
on this assignment will be calculated from the best two answers.
Problem 03.1
Suppose that e1 ; e2 ; e3 are elements of a vector space V . In each of the
following si
Exercise 01
Please attempt all of the following problems before the due date. Your grade on this assignment will be calculated from the best two answers.
Problem 01.1
In the notes you .nd the following assertion: A set of n linearly independent vectors fe
Exercise 03
Please attempt all of the following problems before the due date. Your grade
on this assignment will be calculated from the best two answers.
Problem 03.1
Suppose that e1 ; e2 ; e3 are elements of a vector space V . In each of the
following si
Exercise 02
Please attempt all of the following problems before the due date. Your grade
on this assignment will be calculated from the best two answers.
Problem 02.1
Which of the following functions is homogeneously linear?
a) f : R ! R with f (x) = 4x f