How to make a matrix symmetric? Transpose of a Matrix: First we need to understand the transpose of a matrix to understand the symmetric matrix: Let {eq}\displaystyle A = \left [ a_{i j} \right ]_{m \times n} {/eq} then transpose of {eq}A {/eq} is denoted by {eq}A^{T...
Show how to determine if a matrix is inconsistent. How to check if a matrix spans a subspace? How to check if a symmetric matrix is negative definite? How to check if a matrix is positive definite? Prove that for any m \times n matrix A, rank (A) = 0 if and only if A is the...
Is there a simple algorithm that can be used in excel to build a symmetric matrix where the sum of each row and column is k when the diagonal elements are determined (not zero)? In other words, if the diagonal elements are determined, fill in the lower triangular ...
Show activity on this post. Suppose I have a matrix A, it is symmetric. That is A(i,j)=A(j,i) The value of A(i,j) can be i or j. How can I fill the value into matrix A to make sure the exist times of each value as close as possible? (or as balance as possible)? I...
How to check if a matrix is symmetric in NumPy? Convert list or NumPy array of single element to float How to make a 2d NumPy array a 3d array? How to get the determinant of a matrix using NumPy? Learn & Test Your Skills Python MCQsJava MCQsC++ MCQsC MCQsJavaScript MCQsCSS MCQsjQuery...
There's already a similar question for how to make a symmetric matrix with certain values. But I want to create a symbolic matrix that is symmetric. I learned how to make a non-symmetric symbolic matrix thus: ThemeCopy >> n=3; >> Q = sym('q', [n n]) Q = [ q1_1, q1_2, ...
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Python code to plot vectors using matplotlib # Importing numpyimportnumpyasnp# Importing matplotlib pyplotimportmatplotlib.pyplotasplt# Creating a vectorvec=np.array([[1,1], [-2,2], [4,-7]])# Display original vectorprint("Original Vector:\n",vec)# Defining origin pointsorigin=np.array([...
PS: This second conjecture has been shown to be false when $A$ is invertible, see Robert Israel's answer below. But I still think that it's true when $A$ is not invertible. The post if matrix such $AA^T=A^2$ then $A$ is symmetric? solves the $n=1$ case. linear-algebra mat...
Many techniques have been proposed to tackle these situations. In this paper, a modified Algebraic Reconstruction Technique is adopted and a attribute matrix is used to deal with the incomplete projection data by priori information. As an example, a symmetric flowfield in wind tummel is analyzed ...