IB DP Maths: AI HL复习笔记2.2.1 Functions
Language of Functions What is a mapping? A?mapping?transforms?one set of values (inputs) into another set of values (outputs) Mappings can be: One-to-one Each input gets mapped to?exactly one uniqu...
IB DP Maths: AI HL复习笔记2.1.1 Equations of a Straight Line
Equations of a Straight Line How do I find the gradient of a straight line? Find two points that the line passes through with coordinates (x1, y1) and?(x2, y2) The gradient between these two points...
IB DP Maths: AI HL复习笔记1.8.2 Applications of Matrices
Diagonalisation What is matrix diagonalisation? A?non-zero,?square?matrix is considered to be?diagonal?if all elements?not?along its leading diagonal?are?zero You will only need to consider matrice...
IB DP Maths: AI HL复习笔记1.8.1 Eigenvalues & Eigenvectors
Characteristic Polynomials Eigenvalues?and?eigenvectors?are properties of square matrices and are used in a lot of real-life applications including geometrical transformations and probability scena...
IB DP Maths: AI HL复习笔记1.7.4 Solving Systems of Linear Equations with Matrices
Solving Systems of Linear Equations with Matrices Matrices are used in a huge variety of applications within engineering, computing and business. They are particularly useful for encrypting data an...
IB DP Maths: AI HL复习笔记1.7.3 Determinants & Inverses
Determinants What is a determinant? The?determinant?is a?numerical value?(positive or negative) calculated from the elements in a matrix and is used to find the?inverse?of a matrix You can only fin...
IB DP Maths: AI HL复习笔记1.7.2 Operations with Matrices
Matrix Addition & Subtraction Just as with ordinary numbers,?matrices?can be?added?together and?subtracted?from one another, provided that they meet certain conditions. How is addition and subt...
IB DP Maths: AI HL复习笔记1.7.1 Introduction to Matrices
Introduction to Matrices Matrices are a useful way to represent and manipulate data in order to model situations. The elements in a matrix can represent data, equations or systems and have many rea...
IB DP Maths: AI HL复习笔记1.6.3 Applications of Complex Numbers
Frequency & Phase of Trig Functions How are complex numbers and trig functions related? A sinusoidal function is of the form?a?sin(bx?+?c) a?represents the?amplitude b?represents the?period?(al...
