Algebra

Matrix Operations and Linear Algebra

Understand the distinction between matrix and element-wise operators, solve linear systems with backslash, and compute determinants, inverses, and eigenvalues.

Matrices and Linear Algebra

Explore Julia's Matrix type and the LinearAlgebra standard library, from basic construction through factorizations to structured-matrix performance.

Linear Algebra with NumPy

Learn how NumPy represents vectors and matrices and how to perform matrix multiplication, transposition, inversion, determinants, and eigen-decomposition using…

How to Solve Surds and Indices Problems

Surds and indices problems reduce to applying the laws of exponents — a^m × a^n = a^(m+n), (a^m)^n = a^(mn), a^m / a^n = a^(m−n), and a^(1/n) = the nth root of…

How to Solve Logarithm Problems

A logarithm answers 'to what power must the base be raised to get this number' — log_b(x) = y means b^y = x — and logarithm problems are solved by converting b…

How to Solve Quadratic Equation Word Problems

Quadratic word problems are solved by translating the scenario into an equation of the form ax^2 + bx + c = 0, then solving via factoring, the quadratic formul…

How to Solve Linear Equations Word Problems

Linear equation word problems are solved by naming the unknown quantity as a variable, translating each stated relationship into a first-degree equation of the…

How to Solve Simultaneous Equations Age Word Problems

Simultaneous equations age word problems are solved by assigning two variables to the two present ages, writing one equation for each stated condition (present…