Manuals/calci/MATRIXTYPE

MATRIXTYPE (Matrix,Type)


  • is the set of values.
  • is the type of the matrix.

Description

  • This function is the tester function of Idempotent and Projection matrix.
  • In  ,  is set of values and   is the type of the matrix either Idempotent or Projection.
  • Idempotent a matrix which, when multiplied by itself, yields itself.
  • A square matrix P is called Projection then  .
  • So the given matrix values are satisfied Idempotent and the given Matrix Type also Idempotent then this function will return as TRUE otherwise FALSE.
  • In same way the given values are satisfies Projection and the Matrix Type also Projection then this function will return as TRUE otherwise FALSE.

Examples

  1. MATRIXTYPE(IM(2),"idempotent") = true
  2. MATRIXTYPE([[1,0,1],[0,1,2]],"idempotent") = false
  3. MATRIXTYPE([[1,0,0],[0,1,0],[0,0,1]],"projection") = true
  4. MATRIXTYPE([[1,0,1],[0,1,0],[0,0,1]],"projection") = false


Related Videos

Types of a Matrix

See Also

References