Comments for MathPhys Archive
http://sunglee.us/mathphysarchive
My archive of mathematics, physics and computer science course materialsMon, 14 May 2018 04:36:03 +0000hourly1https://wordpress.org/?v=4.9.6Comment on Bessel Functions of the First Kind $J_n(x)$ I: Generating Function, Recurrence Relation, Bessel’s Equation by Bessel Functions of the First Kind $J_n(x)$ II: Orthogonality | MathPhys Archive
http://sunglee.us/mathphysarchive/?p=858#comment-491416
Mon, 14 May 2018 04:36:03 +0000http://www.math.usm.edu/lee/mathphysarchive/?p=858#comment-491416[…] m}}{a}rhoright)$. For $x=frac{alpha_{nu m}}{a}rho$, Bessel’s equation (9) in here can be written as […]
]]>Comment on Cramer’s Rule by Inverse of a Matrix | MathPhys Archive
http://sunglee.us/mathphysarchive/?p=2357#comment-491404
Thu, 10 May 2018 15:15:08 +0000http://sunglee.us/mathphysarchive/?p=2357#comment-491404[…] Then $$x_{1j}A^1+cdots+x_{nj}A^n=E^j.$$ This is a system of linear equations and as we studied here, it can be solved by Cramer’s Rule as begin{align*} […]
]]>Comment on The Rank of a Matrix 2: The Rank of a Matrix and Subdeterminants by Cramer’s Rule | MathPhys Archive
http://sunglee.us/mathphysarchive/?p=2354#comment-491403
Thu, 10 May 2018 15:09:18 +0000http://sunglee.us/mathphysarchive/?p=2354#comment-491403[…] 0$. Recall that this condition ensures that the linear system has a unique solution as seen here. Let us consider the determinant of the matrix obtained by replacing $j$-th column $A^j$ by $B$. […]
]]>Comment on Rank of a Matrix by The Rank of a Matrix 2: The Rank of a Matrix and Subdeterminants | MathPhys Archive
http://sunglee.us/mathphysarchive/?p=1458#comment-491402
Thu, 10 May 2018 15:01:44 +0000http://www.math.usm.edu/lee/mathphysarchive/?p=1458#comment-491402[…] Since determinants can be used to test linear dependence , they can be also used to determine the rank of a matrix in stead of using row operations as seen here. […]
]]>Comment on Examples of Non-Existing Limits by obatkuatalami
http://sunglee.us/mathphysarchive/?p=176#comment-469981
Sat, 21 Apr 2018 00:34:23 +0000http://www.math.usm.edu/lee/mathphysarchive/?p=176#comment-469981i understand,,,thanks
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