Proof of the "Left Distributive Law" for matrices.
******A(B + C) = AB + AC******
Again we show that the general element of the left hand side is the same as the right hand side. We have
(A(B + C))ij = S(Aik(B + C)kj) definition of matrix multiplication
=...
So you guys think that I should just ask my math teacher? There is no course at my high-school that uses this book, so by getting the manual I will not be getting any unfair advantage over anybody. Do you guys know of any other books that are an equavalent to "The Art and Craft of Problem...
This is where my problem is! The website says that the solutions are included in an instructor's manual, which is obviously for instructors only! So my question is: How does one get hold of it, when one is not an instructor?
Thank you Tongos, for your reply. I am a big fan of "The Art of Problem-Solving" series myself. But you and others are missing the Point! I am not talking about "The Art of Problem Solving", but I am talking about "The Art and 'Craft' of Problem Solving" by Paul Zeitz. This book is a recommended...
I have known kalva for some time now, and indeed it is too good to be true. But the thing is that I am quite new to olympiad level problem solving, so new that I really need to train myself. For that purpose I want to get my hands on Paul Zeitz's "The Art and Craft of Problem Solving". I have...
If two quantities are directly proportional then their quotient is an invariant(it does not change, it is constant). Further, if we have another pair of two quantities that are directly proportional then their quotient is also an invariant. Moreover, if you multiple these two quotients, you end...
Can anybody help me with the following problem:
The polynomial equation x^3 -6x^2 +5x-1=0 has three real roots a,b, and c.
Then determine the value of a^5 + b^5 +c^5. (COMC,PART B #4,2003).
Yes, and one more thing! Can anybody suggest me a Geometry book that covers all of Olympiad Geometry. I am asking for this because the Zeitz book does not have any geometry in it. Furthermore, does the Zeitz book (The Art and Craft of Problem Solving) have answers to the problems at the back?
Hello folks,
I am quite new to Olympiad level problem solving :smile: , which is why I am considering buying Paul Zeitz's "Art and Craft of Problem Solving". Does anyone have the solutions? I have heard the solutions are in a separate Instructor's Manual, does anyone know how someone can get...
I would really appreciate if someone, anyone can provide me with more SIN(Sir Isaac Newton) physics contest practice exams. And to everybody writing the SIN, I would recommend that you go to your local library, or your school library and get the book called "A decade of SIN...". It is published...