I am writing a program using JOptionPane that asks the user to input a decimal number, and then outputs the decimal number in binary. The program then asks the user if they would like to convert another decimal to enter y/n (with case being irrelevant). I was able to ask the user for the decimal...
[b]1. My question is a general question that I need the answer to so that I can fully understand the homework I am doing. When do I write given vectors as columns of a matrix, and when do I write them as rows of a matrix? More specifically, how do I write the vectors when finding:
1) Ker(T)...
Help Me, I'm Stuck!
I need to prove that x<2^x and x exists in the universe of natural numbers. I know that proof by induction begins by showing that the claim is true for x=1. And I know that I need to show that x+1<2^(x+1). So I began by adding 1 to both sides of the original equation to make...
I am doing this problem for my mathematical logic and reasoning class. I have to use induction to solve it. I began by proving that the statement is true for n=1. I then assumed that the statement was true for all n that exist in the universe of natural numbers. I know that I must show that...