Monthly Archives: October 2009

2009-19 Two matrices

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.

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Good luck with the midterm exam! The next POW problem will be announced on Oct. 30.

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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!

There were 2 incorrect submissions.

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Suppose y(x)≥0 for all real x. Find all solutions of the differential equation \(\frac{dy}{dx}=\sqrt{y}\), y(0)=0.

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This week no problem will be posted due to Chuseok. Enjoy the holiday and see you next week!

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