Matrices and Determinants
A shop keeps its weekly sales in a table. A phone turns a picture by multiplying its points by a small table of numbers. A matrix is such a table, and in this chapter you learn to add, multiply and flip matrices. Then you meet the determinant, one number that tells you the area of a triangle and whether a matrix can be undone. You use it to find the inverse of a matrix and to solve systems of equations, and you see when a system has one answer, none or many. Python does the arithmetic and checks every result. It covers the unit of the Indian syllabus (NCERT, JEE Main) and the matching topic of A-Level Further Maths and IB Higher Level.
Part of Mathematics · High School (11–12) (chapter 8)
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Matrices and Matrix Algebra
What a matrix is and the kinds of matrix you meet: square, zero, identity, diagonal and triangular. Then adding matrices, multiplying them and why the order of a product matters, and the transpose with symmetric and skew-symmetric matrices.
Determinants
The determinant of a 2 by 2 and a 3 by 3 matrix, minors and cofactors, and expansion along any row or column. Then the properties that make a large determinant easy, and the area of a triangle and the test for three points on a line.