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...
