# Enter The Matrix

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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