Definition of Submatrix. Meaning of Submatrix. Synonyms of Submatrix

Here you will find one or more explanations in English for the word Submatrix. Also in the bottom left of the page several parts of wikipedia pages related to the word Submatrix and, of course, Submatrix synonyms and on the right images related to the word Submatrix.

Definition of Submatrix

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Meaning of Submatrix from wikipedia

- computing the determinant of certain submatrices. A prin****l submatrix is a square submatrix obtained by removing certain rows and columns. The definition...
- called the (i, j) minor, or a first minor) is the determinant of the submatrix formed by deleting the i-th row and j-th column. This number is often...
- A non-vanishing p-minor (p × p submatrix with non-zero determinant) shows that the rows and columns of that submatrix are linearly independent, and thus...
- i}{(\lambda _{i}-\lambda _{k})}}},} where M j {\textstyle M_{j}} is the submatrix formed by removing the jth row and column from the original matrix. This...
- if a submatrix is formed from the rows with indices {i1, i2, …, im} and the columns with indices {j1, j2, …, jn}, then the complementary submatrix is formed...
- this number can be computed in polynomial time from the determinant of a submatrix of the graph's Laplacian matrix; specifically, the number is equal to...
- all the minors are positive: that is, the determinant of every square submatrix is a positive number. A totally positive matrix has all entries positive...
- matroid to another Minor (linear algebra), the determinant of a square submatrix Minor chord Minor interval Minor key Minor scale Minor (given name), a...
- 0&0&0&1\end{array}}\right]} where R is the 3×3 submatrix describing rotation and T is the 3×1 submatrix describing translation. In some books, the order...
- square submatrix has determinant 0, +1 or −1. A totally unimodular matrix need not be square itself. From the definition it follows that any submatrix of...