Revison of 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

 

Systems of linear equations

Gauss-Jordan notation

Gauss-Jordan method – unique solution

Gauss-Jordan method – infinite solutions

Gauss-Jordan method – no solution

 

 

 

Linear programming

 

Linear programming

Linear programming models

Linear programming: the Simplex method

Exercise: Simplex method

 

 

• Vector geometry

 

Vectors and their properties

Vectors: addition and subtraction

The norm of a vector

Linear combinations

 

 

 

• Properties of determiners

 

Calculating the determinant of a square matrix of order n

The determinant of an nxn matrix

Cofactors

Sarrus’ rule: Calculating determinants

Properties of determinants

 

 

 

• Solve systems of equations using determinants

 

The inverse matrix by determinant and adjoint matrix

Solving a linear system using the inverse matrix method

Cramer’s rule

 

 

• Geometric transformations and eigenvectors

 

Transformation matrices and position vectors

Eigenvectors

Vector equations of a line

Vector equations of the line and the plane

 

College mathematics :

• • • Revision linear algebra and vector geometry
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