Content X C Mapua X WP NWP As X WP NWP As X C Courser > Course x f (20+) F& x y! Spheric X AIJ 1 X WEEK 9 X Conten X A EX3.1 - > + X webassign.net/web/Student/Assignment-Responses/last?dep=28796456 ES K 1. [-/10 Points] DETAILS LARLINALG8 7.1.502.XP.SBS. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The Cayley-Hamilton Theorem states that a matrix satisfies its characteristic equation. For example, the characteristic equation of the matrix shown below is as follows. 12 - 61 + 11 = 0 and by the theorem you have 42 - 6A + 1112 = 0 Demonstrate the Cayley-Hamilton Theorem for the matrix A given below. 5 A= 1 5 1 0 STEP 1: Find and expand the characteristic equation. STEP 2: Compute the required powers of A. AS = AS = Type here to search W 31'( ^ 9 0 14) ENG 3:56 pm 11/02/2022Content X C Mapua X WP NWP As X WP NWP As X C X A EX3.1 - X Homew X f (20+) Fax y! Spheric X AIJ 1 X WEEK 9 X Conten X X C webassign.net/web/Student/Assignment-Responses/last?dep=28796456 ES K A = 15 1 0 0 STEP 1: Find and expand the characteristic equation. STEP 2: Compute the required powers of A. A2 = AS= STEP 3: Write a matrix version of the characteristic equation by replacing a with A. (Use I for the 3x3 identity matrix.) STEP 4: Substitute the powers of A into the matrix equation from step 3, and simplify. Is the matrix equation true? O Yes O No Need Help? Read It Submit Answer Type here to search W O 31'C A 9 0 14) ENG 3:56 pm 11/02/2022