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...
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...
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...
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...
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...
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...
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...
Modulus-Argument (Polar) Form 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 compl...
Geometry of Complex Addition & Subtraction 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...
