At the end of the course, students will be able to:

• Demonstrate comprehension of operations on matrices and to perform elementary operations on matrices.

• Recognize consistent, inconsistent and over determined systems, and discuss their solutions and solve systems of linear equations.

• Perform vector operations, recognize vector spaces and determine whether two vectors are orthogonal, parallel, or neither by using dot and cross products.

• Construct different expressions for the equations of the lines and planes and solve problems related to the intersection of lines and planes.

• Recognize the equations of surfaces in the space and solve problems related to intersection of them.