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diagonal matrix

 

Definitions from WordNet

Noun diagonal matrix has 1 sense
  1. diagonal matrix - a square matrix with all off-diagonal elements equal to zero
    --1 is a kind of
    square matrix
    --1 has particulars: scalar matrix

Definitions from the Web

Term: Diagonal Matrix

Definition: In linear algebra, a diagonal matrix is a special type of square matrix where all the off-diagonal elements are zero. The diagonal elements can be any non-zero value, including negative numbers.

Sample sentences:

  • The professor explained that a diagonal matrix can be easily identified by having zero entries everywhere except on the main diagonal.
  • The inverse of a diagonal matrix is also a diagonal matrix.
  • When performing matrix multiplication, a diagonal matrix can simplify the calculations by only multiplying the corresponding elements on the main diagonal.

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