Difference between revisions of "Manuals/calci/MATRIXRANK"

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(Created page with "<div style="font-size:30px">'''MATRIXRANK (a)'''</div><br/> *<math>a</math> is any matrix. ==Description== *This function shows the rank of the Matrix. *In <math>MATRIXRANK(a...")
 
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==Examples==
 
==Examples==
1. MATRIXRANK(IM(9)) = 9
+
# MATRIXRANK(IM(9)) = 9
2. MATRIXRANK([[2,5,8,9],[3,4,6,1],[9,6,5,2]]) = 3
+
# MATRIXRANK([[2,5,8,9],[3,4,6,1],[9,6,5,2]]) = 3
3. MATRIXRANK([[2,5],[8,9],[3,4],[6,1],[9,6],[5,2]]) = 2
+
# MATRIXRANK([[2,5],[8,9],[3,4],[6,1],[9,6],[5,2]]) = 2
  
 
==See Also==
 
==See Also==

Revision as of 14:46, 31 October 2017

MATRIXRANK (a)


  • is any matrix.

Description

  • This function shows the rank of the Matrix.
  • In , is any order of the matrix.
  • The Rank of the matrix is defined by maximum number of columns or Maximum number of rows in the Matrix.
  • For matrix,If is less than , then the maximum rank of the matrix is .
  • If is greater than , then the maximum rank of the matrix is .
  • Suppose all entries are zero in the given matrix then Rank of the Matrix is zero.
  • If a matrix had even one non-zero element, its minimum rank would be one.

Examples

  1. MATRIXRANK(IM(9)) = 9
  2. MATRIXRANK([[2,5,8,9],[3,4,6,1],[9,6,5,2]]) = 3
  3. MATRIXRANK([[2,5],[8,9],[3,4],[6,1],[9,6],[5,2]]) = 2

See Also

References