Let A be a 10 x 10 matrix which has only one eigenvalue X=7. Let dz = nullity(A – 7 1)k. Given that the sequence d1, d2, dz,... 5, 6, 7, 8, 9, 10 Suppose that A has a Jordan form Js, (7) ... O Js,(7) which is a direct sum of l Jordan blocks of sizes S1 X 81, ..., se X Se. Enter the sequence s1,., se in the box below. Note: If a Jordan form of A is J1 (7) + J3 (7) O J1 (7), enter the sequence 1,3,1 in the box.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let A be a 10 x 10 matrix which has only one eigenvalue A= 7.
Let d = nullity(A – 71)k.
Given that the sequence d1, d2, d3,...
5, 6, 7,8, 9, 10
Suppose that A has a Jordan form Js, (7) O
S1 X $1, . .. , Se x se.
... Js, (7) which is a direct sum of l Jordan blocks of sizes
Enter the sequence s1,· ·., se in the box below.
Note: If a Jordan form of A is J1 (7) O J3(7) O J1(7), enter the sequence 1,3,1 in the box.
Transcribed Image Text:Let A be a 10 x 10 matrix which has only one eigenvalue A= 7. Let d = nullity(A – 71)k. Given that the sequence d1, d2, d3,... 5, 6, 7,8, 9, 10 Suppose that A has a Jordan form Js, (7) O S1 X $1, . .. , Se x se. ... Js, (7) which is a direct sum of l Jordan blocks of sizes Enter the sequence s1,· ·., se in the box below. Note: If a Jordan form of A is J1 (7) O J3(7) O J1(7), enter the sequence 1,3,1 in the box.
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