Question

Find the eigenspace corresponding to each eigenvalue of  

a.
b.
c.
d.
e.
f.

Find the eigenspace corresponding to each eigenvalue of A 3 8 (5) = 8A(-2) = 4 b. A- [12] {{ }) {{}) 841-2) = {{{ z?}) 841) =

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Answer #1

Given matrin ** [4] To find eigen value of eigen vector let ņa 3 [lli 4 2 characteristic poly of A is det (A-dI) 20 ire 1-d 3consider the system CA-d,I) x20 CA-51)x=0 {[: .]-SCO - 2 [:]][] {[:] [:]}{7:6: 1-5 3-0 lol 4-0 12 2-5 [36] 0 4 consider Augme24 = 322 4 puk Ngahut, TER 2 423 (40) 2 42 3ut Ergen space corresponding to dias Eldu: 8134 1 ter] {•[4]loer t 3 E(d): C rres4 [*]S]0 1:20 consider the Augmented matsin is [ALOS 3 107 4 4 1 / 2 [,; st P2 T R2-R [1: system becomes zutagro 24.-22 PutElda) [1] option o D is correct

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