a-cl-linc.2011t - Linear Algebra MAS4105 6137 Prereq-A...

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: Linear Algebra MAS4105 6137 Prereq-A Prof. JLF King 24Aug2011 A1: On your own sheets of paper, please write ( double-spaced ) a proof of the following, in complete English sentences. Do not restate the problem. Let L ( n ) := [5 [2 n ] ]- 1. By induction on k , prove that k N : L ( k ) is a multiple of 3. A2: Show no work. NOTE : The inverse-fnc of g , often written as g 1 , is different from the reciprocal fnc 1 /g . E.g, suppose g is invertible with g ( 2) = 3 and g (3) = 8: Then g 1 (3) = 2, yet [1 /g ](3) def === 1 /g (3) = 1 / 8. Please write DNE in a blank if the described object does not exist or if the indicated operation cannot be performed. a 2 27 3 = ........... . log 8 (4)= ........... . b Line y = [ M x ] + B owns points (3 , 1) and ( 3 , 17). Hence M = ............... and B = ............... . c Quadratic 15 x 2 + 23 x + 6 = [ Ax- ] [ Bx- ], for numbers A = ........
View Full Document

This note was uploaded on 01/26/2012 for the course MAS 4105 taught by Professor Rudyak during the Fall '09 term at University of Florida.

Ask a homework question - tutors are online