A matrix BE Max z ! {) has characteristic polynomial I{_ _ }{ + 3. Find BILL. Hint. Show that there crist an invertible matru CE Mexally. a positive

A matrix B ∈ M2×2(R) has characteristic polynomial x2 −3x+3. FindB12. Hint: Show that there exist an invertible matrix Q ∈ M2×2(R), a positive real number s, and a rotation matrix R such that B =sQRQ−1. What is s, and what is the angle of rotation of the matrixR?

A matrix BE Max z ! {) has characteristic polynomial I{_ _ }{ + 3. FindBILL. Hint. Show that there crist an invertible matru CE Mexally.a positive real number s, and a rotation matric I such that BSORQ- 1. What is s, and what is the angle of rotation of the matrixR. ?