Matrix Determinant

Elementary Row or Column Operations

Let \(d=det(A)\)

  • Add a multiple of a row (or a column) to another row (or column): \(d\) does not change
  • Exchanging two rows or two columns: \(d \rightarrow -d\)
  • Multiplying any row or column by a constant \(k\): \(d \rightarrow kd\)

  • Laws of Exponents
  • Laws of Logarithms
  • Laws of Logic
  • Matrix Determinant