Scalar And Vector Fields
... This introductory chapter is a review of mathematical concepts required for the course. It is assumed that the reader is already familiar with elementary vector analysis. Physical quantities that we deal with in electromagnetism can be scalars or vectors. A scalar is an entity which only has a magni ...
... This introductory chapter is a review of mathematical concepts required for the course. It is assumed that the reader is already familiar with elementary vector analysis. Physical quantities that we deal with in electromagnetism can be scalars or vectors. A scalar is an entity which only has a magni ...
APPM 2360 17 October, 2013 Worksheet #7 1. Consider the space
... Consider R3 as vector space (n = 3). Then S = {(1, 0, 0), (0, 1, 0)} is linearly independent set of R3 . However, it is not a basis for R3 . That is because it has only 2 elements, but dim(R3 ) = 3 (c) TRUE An n × n matrix is row equivalent to In×n ⇐⇒ A is invertible ⇐⇒ rank(A) = n ⇐⇒ rank(A) = dim( ...
... Consider R3 as vector space (n = 3). Then S = {(1, 0, 0), (0, 1, 0)} is linearly independent set of R3 . However, it is not a basis for R3 . That is because it has only 2 elements, but dim(R3 ) = 3 (c) TRUE An n × n matrix is row equivalent to In×n ⇐⇒ A is invertible ⇐⇒ rank(A) = n ⇐⇒ rank(A) = dim( ...
