MA 305 Lecture 6 Transparencies

Tuesday, February 8, 2000

Slide 1

Matrix algebra: matrix addition, scalar mulitplication, zero matrix, matrix multiplication.
Number of scalar multiplications in matrix multiplication.
(Audio part 1, 16:30)

Slide 2

Linear system as matrix equation.
Matrix multiplication is not commutative.
Function composition is not commutative.
(Audio part 1, 26:30)

Slide 3

Matrix multiplication laws: associativity (proof by function composition), distribution over addition.
(Audio part 1, 32:00)

Slide 4

Famous Fibonacci Rabbit Problem
(Audio part 2, 0:30)

Slide 5

Fibonacci Rabbit Problem as matrix equation.
(Audio part 2, 10:00)

Slide 6

Fibonacci Rabbit Problem as matrix equation (continued).
Matrix exponentiation.
(Audio part 2, 12:30)

Slide 7

Fibonacci sequence.
(Audio part 2, 24:30)