id,title,slug,link,category_id,tags,type_id,image,provider_id,publisher_id,university_id,institution_id,duration,cost_id,certificate,difficulty,description,syllabus,pages,added_date,published_date,bad_link,popular 83768,"Introduction to linear equations and matrices",introduction-to-linear-equations-and-matrices-83768,https://www.coursera.org/learn/combinatorics,10,1419,1,https://d3f1iyfxxz8i1e.cloudfront.net/courses/course_image/195a0d44f60e.jpg,77,,180,,,,,,"In this free course, matrices are used as a concise way of representing systems of linear equations which occur frequently in mathematics. Section 1 looks at simultaneous linear equations in two and three unknowns and then generalises the ideas to systems of linear equations. Section 2 develops a strategy for solving systems of linear equations. Section 3 looks at the algebra of matrices and shows that matrices can be thought of as a generalisation of vectors. Section 4 introduces the inverse of a matrix. Section 5 uses systems of linear equations to introduce the determinant of a square matrix.","