The correct method for cubing a matrix [A] involves understanding the associative property of matrix multiplication. The expressions [A]^3 = [A]^2[A] and [A][A]^2 are equivalent due to the associative nature of multiplication, which confirms that the order of multiplication does not affect the final result. Therefore, regardless of the approach taken, the outcome remains the same: [A][A][A]. This discussion clarifies that while matrix multiplication is not commutative, it is associative.
PREREQUISITESStudents of linear algebra, mathematicians, and anyone involved in computational mathematics or computer graphics who seeks to deepen their understanding of matrix operations.