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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 control framework in which the connections between the information and yield signs are generously straight in spite of the presence of nonlinear components.
What is the set of values that solve a system of equations called?
Depending on the context, the "feasible region" or "solution set".
What is the answer to 100 x 100?
100x100=10,000 because there are 4 0's left after so they have to be added
When a system has two variables each solution is an ordered pair true or false?
True. That's a way of representing the solution.
Let A be a 6by4 matrix and B a 4by6 matrix show that the 6by6 matrix AB can not be invertible?
It is not possible to show that since it is not necessarily true.
There is absolutely nothing in the information that is given in the question which implies that AB is not invertible.
What is a linear system with infinitely many solution?
It is a system in which the solution set is a straight line.
It was Jacob A. Marinsky, Lawrence E. Glendenin and Charles D. Coryell who discovered promethium. It had been predicted many years before, but had never been found or isolated. A link can be found below for more information.
Is idempotent matrix a square matrix?
A square matrix K is said to be idempotent if K2=K.
So yes K is a square matrix
What do you call it when somebody spends 20 years in the 24th row of a theater?
Living in "X" aisle *exile*. Play on words/letters; "X" is the 24th letter of the alphabet, and when read, "X" aisle sounds like "exile".
How are the graphs of linear functions and their inverses related?
They are reflected in the line of y=x
How can you learn to solve an equation chart?
Unanswerable in current form.
Perhaps an"equation chart" is a table of values?
Whats the solution to 2x--9-3 equals 2 4x-6-3?
2x + 6 = 8x -18. (Poorly written, but I believe this is what you're looking for)
x = 4
Why is stiffness matrix square?
The stiffness matrix is square because it relates the forces applied to a structure to the displacements at its nodes in a finite element analysis. Each degree of freedom (DOF) at a node corresponds to a row and a column in the matrix, ensuring that the number of equations matches the number of unknowns. This square structure allows for a direct mapping of forces to displacements and enables the use of linear algebra techniques for solving the system of equations efficiently.
What is elimination system of tournament?
An elimination system type of tournament involves several rounds of play. Players will draw to see who they play against. Whoever wins from each round goes on to play a winner from another round. This continues until only one player is left.
What is the meaning of inverse matrices?
If, for an n*n matrix, A, there exists a matrix B such that AB = I, where I is the n*n identity matrix, then the matrix B is said to be the inverse of A. In that case, BA = I (in general, with matrices, AB ≠BA)
I is an n*n matrix consisting of 1 on the principal diagonal and 0s elsewhere.
What are different ways to solve a system of equation?
That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential
What is linear combination in matrices?
If X1, X2 , ... , Xn are matrices of the same dimensions and a1, a2, ... an are constants, then
Y = a1*X1 + a2*X2 + ... + an,*Xn is a linear combination of the X matrices.
Can a zero matrix be a skew symmetric matrix?
My knowledge limits to square matrices.
The answer is yes, because 0 = -0
