Matrix calculus is a way of using maths to present and work with solutions to problems that involve matrices, which are collections of numbers arranged in rows and columns. Matrix calculus is used a lot in computer science, engineering, and other branches of mathematics. It helps us to quickly solve problems by breaking them down into smaller pieces. Think of it like a puzzle - the shorter the pieces, the easier it is to fit them together. The same goes for matrix calculus - it takes complicated problems and simplifies them by breaking them down into smaller parts.