




Hent cevaplanmad 20.00 derinden tenmis Sorte adi(A) given Find the matrix X € R4x4 that satisfies...
Question 3 Not yet answered Marked over 20.00 Mark question Find the matrix that satisfies the equation given X € R4 x 4o · XA = a dj(A) one -1 one -1 - 2 0 0 -1 A = one one - 1 0 0 5 0 0 Justify your answer!
adj(A), given 1 Find the matrix X E R4X4 that satisfies the equation A-IXA -1 1 0 -1 -1 2 0 А. -1 0 0 0 0 5 = 1 1
Question 5. Suppose that a square matrix X satisfies X3 = X. Do not assume that X is invertible. a) Show that X" Xn-2 for all integers n > 3. b) What is X” if n > 3 is an odd integer? Justify your answer. (Hint: use part a) ).
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...
Find the values of a ,b ,c and d which satisfies the given matrix equation
(8 points) Question 5 : Find the 4 x 4 matrix A = (aij] that satisfies the given condition : aij = sin (i + j - 1)] 4 - Solution :
Find the solution to the given system that satisfies the given
initial condition.
Find the solution to the given system that satisfies the given initial condition. -7 -1 x(t) = x(t), 2-5 - 5 2 (a) (0) = (b) x(t) = (c) x( - 2) = 21 (d) (2) = 0 1 1
Find the general solution of the system x' = Ax where A is the given matrix. If an initial condition is given, also find the solution that satisfies the condition. 1.1 5 2 :| -2 1 )
Find an equation of the line that satisfies the given conditions. Through (-1, -14); perpendicular to the line passing through (2,-2) and (6,-4) Find an equation of the line that satisfies the given conditions. Through (-9, 1); parallel to the line x = 7 Find an equation of the line that satisfies the given conditions. Through (1, 1); parallel to the line y = 9x - 7 Find an equation of the line that satisfies the given conditions. Through (9,...
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...