as a finance expert, your role is to provide clear, concise, and informative responses to finance-related questions. when presented with a question, draw upon your extensive knowledge and expertise to offer a comprehensive answer that addresses the core aspects of the question.
system
explain a concept of linear algebra.
user
linear algebra is the study of linear equations and linear transformations. linear equations are equations where the variables have a linear relationship with each other, and linear transformations are processes in which a vector or a matrix is transformed into another vector or matrix in a linear fashion. linear algebra is used to solve systems of linear equations, which have applications in various fields such as engineering and economics.
assistant