Unformatted text preview: N . b) ( s + t ) L = sL + tL . 4. Let A be an m × n matrix. Prove that for any ~a ∈ Col( A ) and ~x ∈ Null( A T ) we have ~a · ~x = 0. 5. Let L : R n → R m and M : R m → R p be linear mappings. Prove that M ◦ L is a linear mapping and [ M ◦ L ] = [ M ][ L ] 1...
View
Full
Document
This note was uploaded on 07/16/2011 for the course MATH 136 taught by Professor All during the Spring '08 term at Waterloo.
 Spring '08
 All
 Math

Click to edit the document details