If , then show that
where I denotes the 2 × 2 identity matrix. Thus every 2 × 2 matrix A satisfies the equation
A2 − (trace A) A + (det A) I = 0
where det A = ad − bc denotes the determinant of the matrix A, and trace A denotes the sum of its diagonal elements. This result is the 2-dimensional case of the Cayley Hamilton theorem of Section 6.3.
We need at least 10 more requests to produce the solution.
0 / 10 have requested this problem solution
The more requests, the faster the answer.