IB DP Maths: AI HL复习笔记2.2.3 Properties of Graphs
Quadratic Functions & Graphs What are the key features of quadratic graphs? If a is positive then the vertex is the minimum point If a is negative then the vertex is the maximum point Exam Tip ...
IB DP Maths: AI HL复习笔记2.2.2 Graphing Functions
Graphing Functions How do I graph the function y = f(x)? What is the difference between “draw” and “sketch”? If asked to sketch you should: Show the general shape Label any key points such as the i...
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...
