Media Summary: In this problem we show how to factor z^4+4 over the rational numbers. We use the fact that the complex zeroes of z^4+4=0 come ... In this problem we use mathematical induction to establish a formula for the sum 1x2+2x3+...+n(n+1). Presented by N J ... Here we solve a polynomial equation with real coefficients, given a complex root. Presented by Thanom Shaw of the School of ...
Math1131 Linear Algebra Chapter 3 - Detailed Analysis & Overview
In this problem we show how to factor z^4+4 over the rational numbers. We use the fact that the complex zeroes of z^4+4=0 come ... In this problem we use mathematical induction to establish a formula for the sum 1x2+2x3+...+n(n+1). Presented by N J ... Here we solve a polynomial equation with real coefficients, given a complex root. Presented by Thanom Shaw of the School of ... Here we use the remainder theorem and the factor theorem to show that z-a is a factor of p(z), and find all Quite possibly the most important idea for understanding Hello we're at unsw I'm Norman wurger and we're going over some tutorial problems from our first year math 11131
We show that n sequential powers of an n'th root of unity add up to 0. This also illustrates a nice and simple method for calculating ... We look at the relation between a complex number, its complex conjugate, and its modulus squared. Presented by N J Wildberger ... In this problem we calculate the modulus, principal argument and polar form for several complex numbers. Presented by N J ... Here we calculate the product of two complex numbers in polar (or modulus-argument form) as well as in Cartesian form. Here we find the roots of a quadratics equation with complex coefficients (in Cartesian form). To do so we also need to calculate ...
