To add constraints, you take the constraint equations mentioned above and use them to replace unknowns in your matrix equation with the corresponding constraints expressed in other variables.
22.
I tried solving it with a Matrix equation, and the vector would be the transpose of x is the vector product if the matrix equation is Ax = 0.
23.
I tried solving it with a Matrix equation, and the vector would be the transpose of x is the vector product if the matrix equation is Ax = 0.
24.
Each equation can be represented in matrix form, and so SUR solves the system of matrix equations . talk ) 13 : 46, 6 August 2009 ( UTC)
25.
In matrix equations, the Pauli matrices are denoted by " " in which 0, 1, 2, 3 } }, where is the identity matrix:
26.
For a system composed of many members interconnected at points called nodes, the members'flexibility relations can be put together into a single matrix equation, dropping the superscript m:
27.
Using Newtonian or Lagrangian dynamics, the unconstrained equations of motion of the system " S " under study can be derived as a matrix equation ( see matrix multiplication ):
28.
It is sometimes sufficient to use the matrix equation above and the fact that "'Q "'is a stochastic matrix to solve for "'Q " '.
29.
Lam earned his PhD in 1974 under Herbert Ryser at Caltech with thesis " Rational G-Circulants Satisfying the Matrix Equation A ^ 2 = d I + \ lambda J ".
30.
As for the majority of low quantum numbers, changes over a " small range of integers ", so often the later equation can be solved analytically as an at most matrix equation.
