1) Find eat where 1 2) Suppose J(X) R55 is a Jordan block of some...

Transcribed Image Text:

1) Find eat where 1 2) Suppose J(X) € R5×5 is a Jordan block of some eigenvalue λ. Find Jª(\). 3) Let x = [X₁ X2 X3 ]T. Find the condition for a such that x¹ Ax > 0 for each nonzero x, where A a). b). 0 0 = A = A₂ = [C₁ C₂] A = A3 = [C₁ C2 C3] 4) Let p, q> 0 and an = -pan-1 + qan-2 for n = Find 2 1 -1 2 -2 0 0 23 2a -5 2 = 2, 3, . . . . Hint: Different initial values of ao and a lead to different answers. 5) Suppose b=[00-2 3 ]², c₁=[ 1 -1 11], c₂=[202-1]ª and c3=[-3-1-33]T. Find x that minimizes || Axb|| for the following two cases: ak lim k→∞ Ak-1 1) Find eat where 1 2) Suppose J(X) € R5×5 is a Jordan block of some eigenvalue λ. Find Jª(\). 3) Let x = [X₁ X2 X3 ]T. Find the condition for a such that x¹ Ax > 0 for each nonzero x, where A a). b). 0 0 = A = A₂ = [C₁ C₂] A = A3 = [C₁ C2 C3] 4) Let p, q> 0 and an = -pan-1 + qan-2 for n = Find 2 1 -1 2 -2 0 0 23 2a -5 2 = 2, 3, . . . . Hint: Different initial values of ao and a lead to different answers. 5) Suppose b=[00-2 3 ]², c₁=[ 1 -1 11], c₂=[202-1]ª and c3=[-3-1-33]T. Find x that minimizes || Axb|| for the following two cases: ak lim k→∞ Ak-1

Answer rating: 100% (QA)

Answer Recall the definition of a Jordan block A Jordan block is a square matrix of the form 1 0 0 0 ... View the full answer