数学の行列について質問です 下の写真の問題の解き方がわかりません。教えていただけるとありがたいです。

23:37 Previous Problem Problem List Next Problem Consider a sequence (an) 20 defined by the following recurrence relation: n=0 21 ao = 1, a1 == -3, An+2 = 11an+1 18an (n ≥ 0). (1) Find a matrix A satisfying the following: A - [an+2] an+1 an+1 = An (2) Calculate the eigenvalues of the matrix A, where t1t2 (No partial credit). t₁ = = ったこ = (3) Find the eigenvectors of the matrix A. (i) The eigenvector with respect to the eigenvalue +1: V₁ = = t [ ], (ii) The eigenvector with respect to the eigenvalue t₂: v₂ = [ ]. (4) Diagonalize the matrix A, that is, calculate the following, where P = [v1_v2]. P-1 AP = (5) Calculate A" by using diagonalization. An 17

至急お願いしたいです。 全く分かりません。

Vocabulary Preview Match each word with a definition by drawing a line between them. **** 1. methane 2. undergo 3. fluctuate for 4. current 5. eruption 6. orbit 7. consequence 8. balance • (a) an explosion from a volcano . (b) a gas that is used as a fuel lib. (c) to give something up ofbelastb. (d) to do with the present time . (e) a curved path around a planet 9. contentious 151 • font-lo (f) causing disagreement . 416 . (g) to consider the importance of two things appropriately . work bas ron of been ensibilib . (h) to move up and down EVED . Seei opinsino (i) the result of an action or process 10. relinquish notiformedbr. (j) to experience something Too Hot t

afterwardとsubsequentlyの違いは何ですか？

この文章の和訳を誰かしていただけないでしょうか😢 英語が苦手で、、、。よろしくお願いします！

19,20 Friday, Feb. 26, 2021 O French safety officials the 写真提供:ロイターアフ。 safety official 安全局合。 on Thursday gave green light to extend the lifetime of the FESSENHEI/ 35 eDF country's oldest nuclear power plants as it seeks to boost the share of renewable 再生可能エネ ルギー mix. renewables in its power の Nuclear energy currently provides nearly 70 10 French electricity, more than in OFrance, hoping to reduce that share to 50 percent by 2035 percent of any other country. obs91 910a8 ーa target pushed back from an earlier 2025 date the help of renewables, has been holding off from building with hold off 控える、見合わ せる new reactors. 15 The French nuclear safety authority(ASN) said the country's 32 plants with 900 megawatt capacity, built mostly in the 1980s, would be allowed to operate for another nuclear safety authority 原子力安全局 decade, taking their potential lifespan to 50 initially planned 40. 20 6 They will therefore not be decommissioned before the late years from the uohee) 活導大 2020s or even late 2030s, depending on their initial launch date. 6 The safety of French nuclear plants is checked every bse 01nla8 decade. s の ASN asked state-controlled electricity provider EDF, which EDF フランス電力 the country's nuclear plants, to undertake work to safeguard the stations' security. “The main target was to limit the consequences of accident, especially any serious accident involving the manages any necessary any meltdown of a reactor," ASN's deputy director-general Julien

すみません、長文の穴埋めがわからないのでどなたか教えてくれる方がいましたら心強いです！ (1)と(2)がわかりません。

Dear Patron, Thank you for your contribution to the Sunset Maritime Museum. Our efforts to pass on our rich seacoast history to the next generation have been a phenomenal success. We were able to raise more than $60,000 this past year. There are many projects in progress and more planned for the following year. several retired sea captains have been volunteering their time for live 2. storytelling sessions, which have been getting young people interested in boating and fishing. Consequently, we hope to exceed the amount of donations this coming year. An anonymous donor has contributed $20,000 to get the ball --3--.We are delighted about this, as we anticipate remodeling costs of $100,000. We understand that everyone's resources are limited, --a- we ask that you help us spread the word by forwarding this to your family, friends and associates. The Sunset Maritime Museum is a worthy cause. Since the museum reopened, the number of people staying and working in this town after high school, as well as those attending college and coming back here to work in family businesses has increased almost 10%. Help save our local heritage. Your help willbe appreciated for generations to come. SVBd (8) 1. (A) Actually, there were at least a dozen new projects involving seabirds. (B) On the other hand, we didn't finish the report to our shareholders in time. (C) Otherwise, there was no information about the matter that could be shared. 0ubeem.ol opiod (D) Nonetheless, we project we will need further funding to meet operating Costs. 46 00 2. (A) For example, (B) However, (C) Notwithstanding, (D) On the other hand, 3emit ynsm visil of beleva) evsdinrelbbne eus eit GAe 1w () の O0

(ii)と(iii)がどうしてこうなるのか分かりません お願いします

b. [1+] Let t(n) be the number of total partitions of n, as defined in Exam- ple 5.2.5. Let g(n) have the same meaning as in Exercise 5.26. Deduce from (a) that g(n) = 2"t(n) for n >1. c. [2+] Give a simple combinatorial proof of (b). 5,37. a. [2+] Let 1=D po(x), pi(x), be a sequence of polynomials (with coeffi- cients in some field K of characteristic O0), with deg pn=n for all nE N. Show that the following four conditions are equivalent: ) Pn(x + y) =DE>o (") Pe(x)pnーk(y), for all n eN. (i) There exists a power series f(u)=aju+azu'+ E K [[u]] such that と P(x)- un expxf(u). (5.110) n! n>0 仮定 NOTE: The hypothesis that deg pPn=nimplies that aj ¥ 0. () E20 Pa(x) = (E>0 Pn(1)). (iv) There exists a linear operator Q on the vector space K[x] of all poly- nomials in x, with the following properties: ●Ox is a nonzero constant ●Qis a shift-invariant operator, i.e., for all aeK,Qcommutes with the shift operator E4 defined by E® p(x)=D p(x +a). ● We have Qpn(x) =D npn-1(x) for all n e P. NOTE: A sequence po, Pi, .. . of polynomials satisfying the above con- ditions is said to be of binomial tvpe. The operator Q is called a delta

1枚目の問題なのですが、試行錯誤を繰り返しても |x－a| (0≦a≦1) の形がうまく作れず、2枚目の⑴にある連続の定義へうまく持っていけません… どうすれば良いでしょうか？

問題 2.9.実数 x に対し,{«} でx に最も近い整数との距離を表す.この時, [0, 1] 上の 関数の列 fnを {10kz} fn(z) = > 10k k=0 とおく、f(x) = lim, →o fn(a), r e [0,1] により定義される関数fは連続である事を示せ。

この第一文のthatは関係代名詞でbyの後ろに入るっていう理解であっていますか?

30 例題 12- The fact that animals lose their knowledge of things as time goes by, and consequently their interest in them. accounts for their absurd behavior in many situations.

これの極限を教えてください！高校数学、大学数学どちらを使ってもいいです！

(1 point) Find the limit of the sequence whose terms are ( an= (n°)(1- cos (24 ).

問5 英語の長文問題です選択式です！ よろしくお願いします。

【問5】 次の Global Warming の段落を読んで、その下の英文 (S) が True (正 い) か False (誤り) のどちらか、選びなさい。 AM Global Warmind: All over the world people are talking about global warming. Vorld leaders are meeting to discuss this problem. Why is it such an important ISSU@? f the temperature of the earth rises too much, the polar ice CapS will begin to melt, causing the water level in the oceans to rise. The Intergovernmental Panel on Climate Change (the IPCC) has made Studies which suggest that there could be a one-meter rise in sea levels by the year 2080. No one knows exactly how bad the effect of this rise could be. However, it is thought that roughly 1 billion people who live on coastal land could experience severe impacts. The places most likely to be badly affected by this rise in sea level are tropical and warmer zoness: these are places where the coasts are more highly populated. The most vulnerable regions are located along the southern coast of the Mediterranean Sea, the west coast of Africa, and southern Asian countries like India, Sri Lanka, and Bangladesh. These regions contain some of the poorest, most heavily populated, and highly fertile areas of the world. In these areas, there will be huge problems as people's homes are flooded and qood farming land becomes useless. In the Pacific and Indian Oceans there are many island nations that will cease to exist. About 5 million people will have to move to other countries as the rising seas ruin drinking water and severe storms destroy their homes. The consequences of global warming will be devastating for billions of people. This is not only their problem, but an issue for the world to discuss. Much has to be done before the oceans come ashore. (S): Because of global warming, the temperature of ice and snoW IS increasin9. 〇 A. TRUE (〇) B. FALSE