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What is idempotent matrix?
An idempotent matrix is a matrix which gives the same matrix if we multiply with the same. in simple words,square of the matrix is equal to the same matrix. if M is our matrix,then MM=M. then M is a idempotent matrix.
What is a reduced matrix?
Reduced matrix is a matrix where the elements of the matrix is reduced by eliminating the elements in the row which its aim is to make an identity matrix.
How are the inverse matrix and identity matrix related?
If an identity matrix is the answer to a problem under matrix multiplication, then each of the two matrices is an inverse matrix of the other.
Each number in a matrix is called a?
Each number in the matrix is called an element of the matrix
What is a skew symmetric matrix?
A skew symmetric matrix is a square matrix which satisfy, Aij=-Aji or A=-At
Define bus incidence matrix?
explain bus incidence matrix.
Is a singular matrix an indempotent matrix?
A singular matrix is a matrix that is not invertible. If a matrix is not invertible, then:• The determinant of the matrix is 0.• Any matrix multiplied by that matrix doesn't give the identity matrix.There are a lot of examples in which a singular matrix is an idempotent matrix. For instance:M =[1 1][0 0]Take the product of two M's to get the same M, the given!M x M = MSo yes, SOME singular matrices are idempotent matrices! How? Let's take a 2 by 2 identity matrix for instance.I =[1 0][0 1]I x I = I obviously.Then, that nonsingular matrix is also idempotent!Hope this helps!
Define sparse matrix?
A matrix that have one or more elements with value zero.
Define inverse of matrix?
From Wolfram MathWorld: The inverse of a square matrix A, sometimes called a reciprocal matrix, is a matrix A-1 such that AA-1=I where I is the identity matrix.
How i define Efficiency of human nature?
The Matrix.
Find matlab code for LQR function?
In MATLAB, you can use the built-in lqr function to compute the Linear Quadratic Regulator (LQR) gain matrix. The basic syntax is K = lqr(A, B, Q, R), where A is the state matrix, B is the input matrix, Q is the state weighting matrix, and R is the input weighting matrix. Ensure you define these matrices appropriately based on your system dynamics before calling the function. For example: A = [...]; % Define your A matrix B = [...]; % Define your B matrix Q = eye(size(A)); % State weighting R = 1; % Input weighting K = lqr(A, B, Q, R);
What is a service system design matrix?
The service system design matrix define the relationship between sales opportunity and production efficiency measured against the amount of human interactive .
How do you solve matrix on ti-84?
To solve a matrix on a TI-84 calculator, first, enter the matrix by pressing the MATRIX button, then select EDIT to define your matrix dimensions and input the values. After entering the matrix, exit the edit mode, then access the MATRIX menu again to select your matrix for operations like finding the inverse, determinant, or performing row operations. For example, to find the inverse, select the matrix, then press x^-1 and hit ENTER. The calculator will display the result.
How do you inverse complex matrix with Armadillo linear algebra library?
To invert a complex matrix using the Armadillo linear algebra library, you can utilize the inv() function, which computes the inverse of a matrix. First, ensure you include the Armadillo header and link against the library. Here's a simple example: #include <armadillo> arma::cx_mat A = {{1.0, 2.0}, {3.0, 4.0}}; // Define a complex matrix arma::cx_mat A_inv = inv(A); // Invert the matrix Make sure the matrix is square and non-singular for the inversion to be valid.
How do you determine transfer function of a synchronous generator?
This is just one of the ways:Choose the variables couple in question defining the SISO form of the system. Write out the state space matrix commonly denoted as "A" of the synchronous machine. Calculate the eigenvalues of that matrix. Then calculate the residues of the matrix with respect to the selected SISO system (the chosen variables in question define the input matrix B and output matrix C). The eigenvalues are the zeros of the transfer function while the residues are the constants in the fractionally partitioned form of the transfer function.The matrices I was talking about define the linearised system in the form :dx/dt=Ax+Buy=CxFor a more thorough explanation seePower System Stability And Control By Prabha Kundur
Define row and column matrix?
A row matrix is a matrix that consists of a single row, containing one or more columns, typically represented as a 1 × n dimension. In contrast, a column matrix consists of a single column with one or more rows, represented as an n × 1 dimension. Both types of matrices are special cases of two-dimensional matrices and are often used in various mathematical applications, including linear algebra.
What is the order of The Matrix?
The Matrix The Matrix Reloaded The Matrix Revolutions
