Linear algebra has a characteristic of competency hierarchically; it means that the competency in the past is as the requirement to get the next competency. With such characteristic needed constructivist learning approach, which has characteristics such as: (1) Knowledge is actively constructed by the students and knowing is an adaptive process (Symeou, L., 2005: 18; Cristie, 2005), (2) learning is individual interpretation of the world, emphasizing problem solving and understanding, use of authentic tasks, experience, and settings as well as the contents of learning are presented holistically not separated (Cristie, 2005), (3) The pressure of learning process is on students and emphasized on the process rather than outcomes, (4) curriculum emphasizes student participation and (5) the teacher is a facilitator (Aunurrahman, 2009: 25; Soeparno, 1997: 66). Linear algebra learning in solving system of linear equations matter expressed in matrix equation using constructivist approach that emphasizes the process of student to solve problems based on the experience that has been gained, students will experience the process of identifying, formulating procedures and steps to resolve, implementing strategies to solve problems, interpreting the results in accordance of an early problems and using the mathematical concepts that have been acquired or learned as an individual experience to solve the problems encountered. Given the process, it will give students the ability in solving problems. This is in accordance with opinion of Sumarmo (in Iqbal, 2010: 13) that the ability of solving mathematical problems, characterized by the ability to identify these elements. Keywords: constructivist, linear algebra, problem solving