\n 0M =NH0(a) Verify that the characteristic polynomial of M isX(A) = 13 – 12 -51 -3 = (1+1)2(1-3).(b) Use the Cayley-Hamilton Theorem to deduce that M is invertible andM-1 = (M2 – M – 51) .(c) Find the eigenvalues of M and the corresponding eigenspaces.(d) Find an invertible matrix P and a diagonal matrix D such that M = PDP-1.(e) Consider three differentiable functionsx = r(t) , y = y(t), z = =(t)of a real variable t linked by the following system of differential equations:+2zy++ZFind the particular solution to this system given that x(0) = 1, y(0) = 2 and=(0) = 3.\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":" Consider the following real matrix: Attachment 1 Attachment 2 0M =NH0(a) Verify that the characteristic polynomial of M isX(A) = 13 – 12 -51 -3 = (1+1)2(1-3).(b) Use the Cayley-Hamilton Theorem to deduce that M is invertible andM-1 = (M2 – M – 51) .(c) Find the eigenvalues of M and the corresponding eigenspaces.(d) Find […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_joinchat":[]},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/227630"}],"collection":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/comments?post=227630"}],"version-history":[{"count":0,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/posts\/227630\/revisions"}],"wp:attachment":[{"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/media?parent=227630"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/categories?post=227630"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qualityassignments.net\/wp-json\/wp\/v2\/tags?post=227630"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
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\n Consider the following real matrix:
\n <\/u>
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