Which topics are covered in the syllabus of linear algebra? a) History of linear algebra, vectors, and matrix operations. b) Products of vectors,...

The answer is e) All of the above.

Linear algebra is a broad subject, and the syllabus will vary depending on the institution and the instructor. However, some of the most common topics covered in a linear algebra syllabus include:

• History of linear algebra: This section provides an overview of the history of linear algebra, from its origins in ancient Egypt to its modern applications.
• Vectors: This section introduces vectors and vector spaces. Vectors are geometric objects that have magnitude and direction. Vector spaces are sets of vectors that satisfy certain properties.
• Matrix operations: This section introduces matrix operations, such as addition, subtraction, multiplication, and transpose. Matrix operations are used to manipulate vectors and matrices.
• Solution of linear systems: This section introduces methods for solving linear systems. Linear systems are sets of equations that involve vectors and matrices.
• Determinants: This section introduces determinants and their applications. Determinants are numbers that are associated with matrices. They can be used to solve linear systems and to find the inverse of a matrix.
• Applications of linear algebra: This section discusses some of the applications of linear algebra in other fields, such as physics, engineering, and computer science.

In addition to these topics, the syllabus may also include other topics, such as eigenvalues and eigenvectors, linear transformations, and least squares.