Linear algebra and vector geometry
To help you succeed in your linear algebra and vector geometry course, it’s important to master certain essential concepts. This page gives you access to the key concepts of the linear algebra and vector geometry course. This knowledge is in line with program 201 – NYC – 05 linear algebra and vector geometry.
What is decisive knowledge (learning)?
It corresponds to what you need to know, be able to do or understand to succeed in the course in which you are enrolled. For learning to be decisive, it must be prior, transferable and lasting.
Prerequisite: Does it prepare your child for other essential learning in the field in question?
Transferable: Is it useful for your child in other school subjects or disciplines?
Durable: Is it useful for your child throughout his or her life?
Key skills for the program
Linear algebra and vector geometry
The following knowledge is essential for successful completion of the linear algebra and vector geometry course.
Algebraic concepts and functions
- The Gauss-Jordan elimination method and applications to network problems
Gauss-Jordan method – unique solution
Gauss-Jordan method – infinite solutions
Gauss-Jordan method – no solution
Linear programming
Linear programming: the Simplex method
- Vector geometry
Vectors: addition and subtraction
- Properties of determiners
Calculating the determinant of a square matrix of order n
The determinant of an nxn matrix
Sarrus’ rule: Calculating determinants
- Solve systems of equations using determinants
The inverse matrix by determinant and adjoint matrix
Solving a linear system using the inverse matrix method
- Geometric transformations and eigenvectors
Transformation matrices and position vectors
Vector equations of the line and the plane