Lesson: Rank of a Matrix: Determinants Mathematics • Third Year of Secondary School

Students will be able to

• find the rank of a matrix using determinants,
• recall how to relate a coefficient matrix and an augmented matrix to a system of linear equations,
• find the rank of an augmented matrix using determinants,
• find the number of solutions to a system of equations using the relationship between the rank of the coefficient matrix and the rank of the augmented matrix (Rouché–Capelli theorem).