IB DP Maths: AA HL復習筆記1.10.2 Algebraic Solutions
How can I write a system of linear equations? To save space we can just write the?coefficients?without the variables What?is a row reduced system of linear equations? A system of linear equations i...
IB DP Maths: AA HL復習筆記1.10.1 Systems of Linear Equations
What are systems of linear equations? A linear equation is an equation of the first order (degree 1) This means that the?maximum degree?of each term is 1 These are examples of linear equations: 2x?...
IB DP Maths: AA HL復習筆記1.9.5 Roots of Complex Numbers
How do I find the square root of a complex number? The square roots of a complex number will themselves be complex: How do I use de Moivre’s Theorem to find roots of a complex number? De Moivre’s T...
IB DP Maths: AA HL復習筆記1.9.4 De Moivre's Theorem
What is De Moivre’s Theorem? De Moivre’s theorem can be used to find powers of complex numbers How do I use de Moivre’s Theorem to raise a complex number to a power? If a complex number is in Carte...
IB DP Maths: AA HL復習筆記1.9.3 Complex Roots of Polynomials
What are complex roots? A quadratic equation can either have two real roots (zeros), a repeated real root or no real roots This depends on the location of the graph of the quadratic with respect to...
IB DP Maths: AA HL復習筆記1.9.2 Forms of Complex Numbers
How do I write a complex number in modulus-argument (polar) form? How do I multiply complex numbers in modulus-argument (polar) form? The main benefit of writing complex numbers in modulus-argument...
IB DP Maths: AA HL復習筆記1.9.1 Geometry of Complex Numbers
What does addition look like on an Argand diagram? In Cartesian form two complex numbers are added by adding the real and imaginary parts When plotted on an Argand diagram the complex number?z1??+?...
IB DP Maths: AA HL復習筆記1.8.3 Introduction to Argand Diagrams
What is the complex plane? The complex plane, sometimes also known as the Argand plane, is a two-dimensional plane on which complex numbers can be represented geometrically It is similar to a two-d...
IB DP Maths: AA HL復習筆記1.8.2 Modulus & Argument
How do I find the modulus of a complex number? The modulus of a complex number is its?distance?from the origin when plotted on an Argand diagram A modulus is?never negative What features should I k...
