Final answer:
The question pertains to eigenvalues and eigenspaces of matrices, key topics in linear algebra; however, without specific matrix details, the calculation cannot be completed.
Step-by-step explanation:
The question concerns the concepts of eigenvalues and eigenspaces of matrices, which are fundamental topics in linear algebra, a branch of mathematics. Unfortunately, the supplied text does not provide sufficient context to solve for the eigenvalues and eigenspaces. Generally, to find the eigenvalues of a given square matrix, one would need to solve the characteristic equation, which is obtained by subtracting a scalar times the identity matrix from the matrix in question and setting the determinant of the resulting matrix to zero. Eigenspaces are then found by solving the equation (A - λI)x = 0, where λ represents an eigenvalue of A, I is the identity matrix, and x represents an eigenvector associated with the eigenvalue λ.
Without the specific details of matrix A1 and A2, we cannot perform these calculations. If you can provide the matrices, we can continue with the process to find their eigenvalues and eigenspaces.