10.2 A Small Example An example of the eigenvalue and singular value decompositions of a small, square matrix is provided by one of the test matrices from the Matlab gallery.

Matrix of Random Numbers Generate a 5-by-5 matrix of uniformly distributed random numbers between 0 and 1.

This MATLAB function computes the inverse of square matrix X.

This MATLAB function returns a square diagonal matrix with the elements of vector v on the main diagonal.

This MATLAB function returns the Classical Adjoint (Adjugate) Matrix X of A, such that A*X = det(A)*eye(n) = X*A, where n is the number of rows in A.

Base A is a square matrix and exponent B is a scalar. If B is a positive integer, the power is computed by repeated squaring. For other values of B the calculation uses an eigenvalue …

This MATLAB function returns the principal square root of the matrix A, that is, X*X = A.

M = magic(n) returns an n -by- n matrix constructed from the integers 1 through n2 with equal row and column sums. The order n must be a scalar greater than or equal to 3 in order to create a …

Nov 23, 2020 · This would effectively square every element in the vector x. What if you wanted to multiply x with exp (x), where x is a vector? What operator would you use? How does that …

LU Factorization of Matrix Compute the LU factorization of a matrix and examine the resulting factors. LU factorization is a way of decomposing a matrix A into an upper triangular matrix U, …