The meaning of RANK OF A DETERMINANT is the rank of the matrix of the determinant.
For the trivial case ofn= 1, the value of the determinant is the value of the single elementa11. Forn= 2, the matrix is and the determinant isa11a22−a12a21. Larger determinants ordinarily are evaluated by a stepwise process, expanding them into sums of terms, each the product of a ...
When doing matrix algebra, or linear algebra, the determinant allows you to determine whether a system of equations has a unique solution. Lesson Quiz Course 12K views Unique Solutions and the Determinant A system of equations is simply a set of more than one equation with two, three,...
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Learn to write the determinant of a 3x3 matrix. Using a 3x3 determinant formula and the shortcut method, understand how to find the determinant of...
Determinant of a matrix is the scalar value of a square matrix. Learn its definition and formula to calculate for 2 by 2, 3 by 3, etc. matrices with the help of examples at BYJU'S.
A determining factor; an element that determines the nature of something (linear algebra) The unique scalar function over square matrices which is distributive over matrix multiplication, multilinear in the rows and columns, and takes the value of 1 for the unit matrix. Abbreviation: det (biolo...
In algebra, the determinant is a special number associated with any square matrix. The fundamental geometric meaning of a determinant is a scale factor for measure when the matrix is regarded as a linear transformation. Thus a 2 × 2 matrix with determinant 2 when applied to a set of points...
aNow, we explain the meaning of the normalized Fisher information matrix of Eq. (4). Suppose that the normalized Fisher information matrix is decomposed by D=L'U.Then the determinant of D can be defined as 现在,我们解释Eq正常化的Fisher信息矩阵的意思。 (4). 假设正常化的Fisher信息矩阵由D定...
aNow, we explain the meaning of the nor-malized Fisher information matrix of Eq. (4). Suppose that the normalized Fisher information matrix is decomposed by D=L'D.Then the determinant of D can be defined as 现在,我们解释Eq正常化的Fisher信息矩阵的意思。 (4). 假设正常化的Fisher信息矩阵由...