The discussion revolves around finding the inverse of a 2x2 matrix defined by the expression A = [[4e^4t sin(4t), 4e^2t cos(4t)], [-3e^4t cos(4t), 3e^2t sin(4t)]]. Participants are exploring the mathematical reasoning involved in calculating the determinant and the inverse of this matrix.
Some participants are seeking clarification on the expressions used in the determinant calculation and whether the original poster has derived a correct expression. There is an ongoing exploration of the simplification process, with no explicit consensus reached yet.
Participants mention the use of the identity sin²(t) + cos²(t) = 1, indicating that trigonometric identities may be relevant to the discussion. There is also a note about the original poster's formatting issues in presenting the problem.
Hurkyl said:I assume you've have managed to get an answer that is correct, and are just looking for help simplifying?
Care to show us what you got? (Or, maybe just the expression you got for the determinant?)