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Student and Tutor reviewed the process of calculating Eigenvalues and Eigenvectors for a 3x3 matrix. They practiced determining Eigenvalues by finding the determinant of `(A - λI)` and subsequently derived Eigenvectors by substituting these values into `(A - λI)x = 0`. The Student was encouraged to practice additional problems, including completing the eigenvector calculation for a specific eigenvalue, and to communicate any doubts via chat.

Student and Tutor reviewed the calculation of eigenvalues for a 2x2 matrix, successfully identifying them. The session then introduced the process of finding eigenvectors, working through an example problem step-by-step. The student received additional practice questions, including 2x2 and 3x3 matrices, for independent revision.

Student and Tutor reviewed the student's homework on polynomial division. The session then focused on advanced matrix operations, including calculating eigenvalues for 2x2 matrices with and without unknown variables, and initiating the process of finding corresponding eigenvectors. The Student was assigned to complete the calculation of the second eigenvector as homework, and 'diagonalizing matrices' was planned for the next class.

The Student and Tutor focused on practicing polynomial long division, working through examples of quadratic expressions divided by linear expressions. They covered cases that resulted in both zero and non-zero remainders, with the Tutor also demonstrating the middle term split method for quadratic factorization. The Tutor plans to send the Student additional practice questions.

The Tutor and Student worked on solving quadratic equations without a constant term, demonstrating the factoring process. They then progressed to finding the eigenvalues of a 3x3 matrix, which involved calculating its determinant to derive a cubic characteristic equation, followed by using polynomial long division and factorization to find its roots. The Tutor was advised to review the solution after class.

The Student and Tutor reviewed the process of finding eigenvalues for 2x2 matrices. They practiced using the formula `det(A - λI) = 0` to derive quadratic equations, which were then solved using both the quadratic formula and the product sum (middle term split) factorization method. Homework on quadratic equations was planned for further practice.