hw4-solutions

as a transformation is not surjective because covered

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: The kernel of (b) iff . } has two matrices) such as also is not injective because [ { [ ] which is not for example . {| } [ [ ] { { } The kernel of is a point so has no dimension. Determinant of is so as a transformation is bijective (both injective and surjective). (d) [ {| } [ | } is four (since there are four free variables). { The dimension of kernel of For any or [ s.t. hence is a surjective transformation. is not injective since s.t. [ [ [ . (e) {| } [ [ ] { {( The kernel of s.t. is not injective because for any two point like we have...
View Full Document

This note was uploaded on 02/13/2014 for the course CS 132 taught by Professor Kfoury during the Fall '13 term at BU.

Ask a homework question - tutors are online