Proof:
Let p(x) = det(xI - A) be the char. poly. of the square matrix A. Put x= A, p(A) = det(AI-A) = 0
When n =1, then probability = 1 (one zero has to be real ) When n=2, then probability = 1/2 ( two zeros are either both real or both imaginary ) When n= 3, then probability = 1/2 ( either all...
05 June 2016 6,367 5 View
As we know Q IS CONTAINED IN R AND R IS CONTAINED IN C (AS A FIELD) THERE ARE SOME RESULTS WHICH HOLD IN R BUT NOT IN C ( For example: Order property hold in R but not in C). ALSO THERE ARE...
09 October 2015 4,135 3 View
Is length the longer side and breadth or width the shorter side?
10 November 2013 6,916 7 View
3, 4 , 5 ; 5, 12, 13 ; 9, 12, 15 etc.
10 November 2013 2,998 2 View
I need to model an anisotropic material in which the Poisson's ratio ν_12 ≠ ν_21 and so on. Therefore, the elastic compliance matrix wouldn't be a symmetric one. In ANSYS APDL, for TB,ANEL...
09 August 2024 5,048 2 View
One can try to generalize the Vandermonde determinant in the following direction: Let $A$ be any symmetric $n$-order square matrix. Consider its powers' diagonal elements $(A^k)_{ii}$ and...
08 August 2024 6,690 1 View
Have you ever seen a LC-MS/MS method uses both internal standards and external standards (in matrix matching purpose) but the concentrations of internal standards are outside the calibration curve...
05 August 2024 3,084 6 View
- The Existence/Uniqueness of Solutions to Higher Order Linear Differential Equations - Higher Order Homogenous Differential Equations - Wronskian Determinants of $n$ Functions - Wronskian...
03 August 2024 2,366 0 View
I need to lyse and homogenise mouse tissues. So far I have experimented with liver and lung tissue, using matrix D. The liver was completely lysed with 6 repetitions of the standard program, but...
31 July 2024 9,186 0 View
We assume this to be true. Science leaves the era of mathematics and enters the era of matrix mechanics and the turning point is the discovery of numerical statistical theory called Cairo...
31 July 2024 3,900 2 View
I am new to Micromechanics and having similar problem with understanding the implementation of the formula's. I would appreciate if anyone can guide me on how to go about getting a scalar value...
30 July 2024 969 0 View
Sure, here is the translation: I have a 3D orthogonal woven composite structure where warp, weft, and binder yarns are oriented in three directions. After modeling these yarns and the matrix in...
28 July 2024 8,169 0 View
We assume that we can find a statistical matrix mechanics equivalent to Schrödinger's PDE in two consecutive steps: i-Transform the Schrödinger PDE describing the wave function Ψ into its square...
27 July 2024 3,959 4 View
Basically I'm helping with the matrix using a cosmolitan group, could one of the characters used for be biogeographical regions (Neartic, Neotropical, etc)? Most of the data in this matrix refers...
25 July 2024 9,753 2 View