Caution: order matters. AB is not BA | Massachusetts Institute of Technology

University
Massachusetts Institute of Technology
Course
Multivariable Calculus
Pages

1

Academic year

2022
Author

Sporkz
Views

36

p {margin: 0; padding: 0;} .ft00{font-size:20px;font-family:Arial;color:#000000;} .ft01{font-size:18px;font-family:ArialMT;color:#000000;} .ft02{font-size:18px;line-height:22px;font-family:ArialMT;color:#000000;} Caution: order matters. AB is not BA Note that AB and BA are not the same thing at all. From this interpretation, it is clear that the conversion of oranges to bananas is not thesame as the conversion of carrots to oranges. The other hand-- well, actually it may be worse than we thought. The thing may not evenbe well-defined. Cause if the width of A is equal to the height of B, then we can do this product. But we don't necessarily know that the width of B will equal the height of A. We wouldneed to show that for that one. Be aware that the size condition to be able to do a product might not make sense. One of them might not seem to make sense, even though the other one does. They areusually completely different things. Although the two ideas may make sense individually,they often refer to two completely different concepts.