You skipped a step. 84 goes into 90 one time like you stated. Then add *one* zero and you will get 60. How many times does 84 go into 60? 84 goes into 60 zero times, so you now have 0.10.
Since you still have more division to do, you *now* bring down the second zero onto the 60 to get 600 and...
I think what you said above finally just clicked in my brain! It's because the siphon effect hasn't kicked in yet that 1 + 2 = 3. But 1 + 3 would equal 2 because the siphon effect kicks in around 3.75 or so, and 2 + 2 = 2 for the same reason.
Though I vaguely remember siphoning a gas tank in...
I suppose it could be modeling an example of a large chunk of sediment getting into the water and eventually blocking the tube, so that 1 + 2 = 3 after the blockage, though before the blockage, 1 + 2 = 2 (assuming that the water normally drains down to 2 when unblocked).
I suppose what is really bothering me about this example is the inconsistency of the solutions.
It seems to me that the solutions would either be: 1+1=2; 1+2=2; 1+3=2; 2+2=2 or 1+1=2; 1+2=3; 1+3=3; 2+2=3 (or some other consistent result) but not a mixture of the two.
I'm trying to figure out this example on page 23 of the book Mathematics for the Million by Lancelot Hogben. (Here is a link to the online book: https://archive.org/details/HogbenMathematicsForTheMillion/page/n25 )
While I understand the concept that adding two and two does not always equal...
Thank you both! The matrix example and the additional column vector description was very helpful as I can now picture what's going on and how the matrix and vectors are indexed in reference to each other. Much clearer now!
Hello all, I don't have a question on homework specifically, but I need clarification on something I'm reading in the textbook.
I will be starting an abstract algebra class in the spring and it's been quite a few years since I've had linear algebra, so I'll be reviewing that material before the...