Let A and B be n×n matrices over the real field R. Prove that if A+B is invertible, then A(A+B)-1B=B(A+B)-1A.
Monthly Archives: October 2009
Good luck with your midterm exam (no problems this and next week)
Good luck with the midterm exam! The next POW problem will be announced on Oct. 30.
Solution: 2009-18 Differential Equation
Suppose y(x)≥0 for all real x. Find all solutions of the differential equation \(\frac{dy}{dx}=\sqrt{y}\), y(0)=0.
The best solution was submitted by Seong-Gu Jeong (정성구), 수리과학과 2007학번. Congratulations!
Here is his Solution of Problem 2009-18.
There were 2 incorrect submissions.
2009-18 Differential Equation
Suppose y(x)≥0 for all real x. Find all solutions of the differential equation \(\frac{dy}{dx}=\sqrt{y}\), y(0)=0.
Happy Chuseok (No problem today)
This week no problem will be posted due to Chuseok. Enjoy the holiday and see you next week!