MA 305 Lecture 5 Transparencies

Thursday, February 3, 2000

Slide 1

Matrix algebra: scalars, matrices, equality of matrices
(Audio part 1, 15:00)

Lecture 5, slide 1

Slide 2

Matrix addition.
Scalar multiplication.
Matrix negation.
Matrix multiplication.
(Audio part 1, 27:15)

Lecture 5, slide 2

Slide 3

Zero matrix.
Self assesment exercise.
(Audio part 1, 37:30)

Lecture 5, slide 3

Slide 4

Answer of self assesment exercise (continued).
Matrix additions laws: associativity, additive inverse.
(Audio part 1, 44:00)

Lecture 5, slide 4

Slide 5

Matrix addition laws: additive unit (zero), commutativity.
Abelian group of real m by n matrices under addition with negation and zero.
(Audio part 2, 15:40)

Lecture 5, slide 5

Slide 6

Scalar multiplication laws: distributivity, special form of associativity, scalar multiplicative unit.
Vector space of real m by n matrices under addition with negation and zero and real scalar multiplication with real one.
(Audio part 2, 12:30)

Lecture 5, slide 6

Slide 7

Matrix multiplication.
(Audio part 2, 24:00)

Lecture 5, slide 7

Slide 8

Matrix multiplication example.
(Audio part 2, 27:15)

Lecture 5, slide 8