MA 305 Lecture 2 Transparencies

Thursday, January 11, 2001

Slide 1

Solutions of linear equations, definition of consistant, and inconsistant. Question. The easy case. (Audio 3:00)

Lecture 2, slide 1

Slide 2

Triangular system example, non-triangular system example. (Audio 11:30, 22:00)

Lecture 2, slide 2

Slide 3

Why can me multiply equations by constants, or add equations and still get the same solutions? A 3x3 system example. (Audio 21:00)

Lecture 2, slide 3

Slide 4

Using backsubstitution to solve 3x3 systems. Example: Determine if the system is consistant. (Audio 32:30)

Lecture 2, slide 4

Slide 5

Write the augmented matrix, then solve. (Audio 43:30)

Lecture 2, slide 5

Slide 6

Example of solving a linear system with an infinite number of solutions. (free varible). (Audio 51:00)

Lecture 2, slide 6

Slide 7

Application: Interpolation (Audio 1:01:00)

Lecture 2, slide 7