0
Linear Algebra
Linear algebra is the detailed study of vector spaces. With applications in such disparate fields as sociology, economics, computer programming, chemistry, and physics, including its essential role in mathematically describing quantum mechanics and the theory of relativity, linear algebra has become one of the most essential mathematical disciplines for the modern world. Please direct all questions regarding matrices, determinants, eigenvalues, eigenvectors, and linear transformations into this category.
2,176 Questions
A straight framework is a numerical model of a framework in light of the utilization of a direct administrator. Direct frameworks normally show highlights and properties that are much less difficult than the general, nonlinear case.
C program for addition of two matrices?
I don't know the code, so I can't give it to you. But the algorithm is simple.
Matrices are usually stored as 2 dimensional arrays. Say M and N.
Then you make a loop, any loop, that goes through each row, during each loop, another loop will go over every single column (so row 1, col 1, then row 1, col 2, then etc.) Each time, the loop goes into row i and column j, add the entries of that row and column from M and N, (or M i,j + N i,j) and let it be the i,j's entry of the sum matrix.
Do the code yourself.
I understand this to mean x = 2.
This is the vertical line passing through the (2, 0) or, alternatively, the vertical line passing through the point where x = 2 on the x-axis.
What level of maths is used in mechanical engineering?
I am an engineering student at the University of Rhode Island. Most schools that offer engineering as a major will require you to go up to Level III Calculus, as well as classes involving equations with multiple unknowns. Mechanical engineering is a very rigorous and difficult major, but if you study hard, you will do absolutely fine.
Is there an infinite number of solutions to a two variable equation in standard form?
It really depends on the equation, but usually the answer is yes.
What are the three types of systems of linear equations and their characteristics?
Independence:
The equations of a linear system are independent if none of the equations can be derived algebraically from the others. When the equations are independent, each equation contains new information about the variables, and removing any of the equations increases the size of the solution set.
Consistency:
The equations of a linear system are consistent if they possess a common solution, and inconsistent otherwise. When the equations are inconsistent, it is possible to derive a contradiction from the equations, such as the statement that 0 = 1.
Homogeneous:
If the linear equations in a given system have a value of zero for all of their constant terms, the system is homogeneous.If one or more of the system's constant terms aren't zero, then the system is nonhomogeneous.
How do you find inverse of matrix in hill cipher technique?
You must study the Linear congruence theorem and the extended GCD algorithm, which belong to Number Theory, in order to understand the maths behind modulo arithmetic.
The inverse of matrix K for example is (1/det(K)) * adjoint(K), where det(K) <> 0.
I assume that you don't understand how to calculate the 1/det(K) in modulo arithmetic and here is where linear congruences and GCD come to play.
Your K has det(K) = -121. Lets say that the modulo m is 26. We want x*(-121) = 1 (mod 26).
[ a = b (mod m) means that a-b = N*m]
We can easily find that for x=3 the above congruence is true because 26 divides (3*(-121) -1) exactly. Of course, the correct way is to use GCD in reverse to calculate the x, but I don't have time for explaining how do it. Check the extented GCD algorithm :)
Now, inv(K) = 3*([3 -8], [-17 5]) (mod 26) = ([9 -24], [-51 15]) (mod 26) = ([9 2], [1 15]).
What is the guideline for a frequency distribution?
A frequency distribution guidelines suggest that data should be organized into classes or intervals, typically with equal widths, to summarize and display the frequency of data points within each class. The number of classes is often determined using Sturges' rule, which is calculated as (k = 1 + 3.322 \log(n)), where (n) is the number of observations. Each class should be mutually exclusive, and the total frequency should equal the total number of observations. Additionally, the distribution should be clearly labeled, including class boundaries and frequencies, to facilitate interpretation.
the one factor you wish to change or mainpulate in the experiment
What is a non linear narrative?
Linear narrative is a story line, which is shown in chronological order Linear narrative is a story line, which is shown in chronological order Sozzzzz Babiiii!
Non Linear is the opposite of linear narrative
88 is the true answer.
created by sasomicky - Egypt.
Good luck.
How are solutions linear inequalites determined graphically?
Graph both inequalities and the area shaded by both is the set of answers.
Can you solve 3x2-3y2-48 equals 0?
No! To get the solution number of unknown variables must be equal to the number of equations. [For example, In this case, two variables (x and y) are involved but only one equation is given. so, we need one more equation having same two variables to get the solution.] If there is no other equation then value of any one of the variables involved (x or y) must be given to ind the value of the other unknown variable.
How do you convert velocity and mass to foot pounds?
You don't. The units are unrelated - they measure different things.
