Using Cayley-Hamilton theorem, find A6 if A =[2 1]
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[10 Given that Matrix A = il has eigenvalues of 2 = 12 =1. Using Cayley-Hamilton theorem, find cos(At). (3 marks)
• Let A=1321. Using Cayley-Hamilton theorem compute (a) A-1, (b) p(A) = A5 + A3 +A+1, (c) At
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. 1-3 A = 12 - 61 + 11 = 0 and by the theorem you have A2 - 64 + 1112 = 0 2 5 Demonstrate the Cayley-Hamilton Theorem for the matrix A given below. 0 5 -1 -1 3 1 0 0 1 STEP 1: Find and expand the characteristic equation. STEP 2: Compute the...
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. --1:: 22 - 61 + 11 = 0 and by the theorem you have 42 - 64 + 1112 = 0 Demonstrate the Cayley-Hamilton Theorem for the matrix A given below. 03 1 A = -1 5 1 0 0 -1 STEP 1: Find and expand the characteristic equation. STEP 2: Compute the required powers of...
16. (-/21 Points] DETAILS LARLINALG8 7.1.502.XP.SBS. MY NOTES 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. 1 -3 A = 72-67 + 11 = 0 and by the theorem you have 42 - 64 + 1112 = 0 2 Demonstrate the Cayley-Hamilton Theorem for the matrix A given below. 0 5 1 A = 0 0 1 STEP 1: Find and expand the characteristic...
Extra Problem #1: Use the Cayley-Hamilton Theorem to express the inverse of the matrix [1 2 -3 01 0 2 7 3 A=1 0 0 -2 1 0 0 0 2 in terms of A, A², and A. Extra Problem #2: Suppose that G is the graph with adjacency matrix To 1 1 0 1 0 1 1 A= 1 1 0 1 0 1 1 0 Compute tr A and tr A. Is B bipartite?
A6-5. Solve the above problem by using excel. A6-1. A water pump is delivering water to a system. Solve the following system of equations using Naïve Gauss elimination to obtain the flow in every stream: 8Q2 - 203 - Q4 = 5 -2Q. +9Q2 - 4Q3 - Q4 = 2 -Q1 - 3Q2 + 703 - 14 - 205 = 1 - 4Q2 – 203 + 12Q4-5Q5 = 1 -703-3Q4 + 15Q5 = 5
1- Using clay Hamilton theory find eAt a) A- 21 b) A 1 0
ex1.10 1 Ex. 1.10. Given 1 find A6, exp(At) and sin(At) 1 Ex. 1.10. Given 1 find A6, exp(At) and sin(At)
4. Find I using Norton's theorem 1 kn 1 kΩ V + 2V 2 k2 12 V Answer: = 4mA 5. Use Thèvenin's theorem to find Va. 1000 6 kn 1 kn + 2 kΩS 2 kΩ 3 V 1 mA V Answer: V = V 6, Use Norton's theorem to find V Š1 k2 4000 2 kn 3 kn V3 kn 1 mA Answer: V= =1.4516V 4. Find I using Norton's theorem 1 kn 1 kΩ V + 2V...