Enter The Matrix

Computer Science Level 4

Find the number of simple arithmetic operations one would need to perform to calculate the determinant of a general \(10\times 10\) numerical matrix by the method of Cofactor or Laplace expansion along a particular row/column.

Details and Assumptions:

  • A simple arithmetic operation is one of Addition, Subtraction, Multiplication, Division.

  • As a few explicit examples, we need to perform \(0\) operations to calculate determinant of a \(1\times 1\) matrix, \(3\) operations for a \(2\times 2\) matrix, and \(14\) operations for a \(3\times 3\) matrix.


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