For systems with more than three equations, Gaussian elimination is far more efficient.
By using Gaussian elimination we bring the augmented matrix into row-echelon form without continuing all the way to the reduced row-echelon form. When this is done, the corresponding system can be solved by the back-substitution technique.
yes
it is actually a very efficient method......
statistics
The statistical method you are referring to is known as factor analysis. Factor analysis is helpful in identifying underlying patterns or structures among a large number of variables by grouping them into a smaller number of factors. These factors help in simplifying the complexity of the data and understanding the relationships between variables.
Data center consolidation is a process used by large companies and corporations to go from using large amounts of servers for their computer systems to more compact and cost efficient systems.
The most efficient method for a facultative anaerobic cell to generate ATP is through oxidative phosphorylation in the presence of oxygen. This process occurs in the mitochondria and involves the electron transport chain to produce a large amount of ATP. If oxygen is unavailable, the cell can switch to fermentation to generate ATP, but this process is less efficient.
The most efficient and cost-effective air conditioning units for hotels are typically central air conditioning systems or variable refrigerant flow (VRF) systems. These systems are able to cool large spaces efficiently and can be controlled centrally, making them ideal for hotels. Additionally, they are energy-efficient, which can help reduce operating costs in the long run.
cross-cultural comparisons
A floor air conditioner in a large room can provide efficient cooling, better air circulation, and targeted cooling where it's needed most. It can also be more cost-effective and energy-efficient compared to central air conditioning systems.
If you are referring to the storage of electrical energy on a large scale then, currently, the only efficient method is by hydroelectric systems which pump water from a lower reservoir to an upper reservoir during off-peak periods so that the water can be used again during on-peak periods.
Electrically powered, self-propelled rapid-transit systems move large numbers of passengers in a single train, an efficient and environmentally less damaging mode of transportation than automobile travel.
Dan Feng has written: 'Tensor-GMRES method for large sparse systems of nonlinear equations' -- subject(s): Algorithms, Jacobi matrix method, Nonlinear equations, Tensors