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数学 大学生・専門学校生・社会人

線形代数に関する質問です! (2)についてなのですが、直線上の任意の点を、(a1+tb1,a2+tb2)として解くことは可能でしょうか? 直線ということなので、直線のベクトル方程式から、求めようと思ったのですが、うまくいきませんでした。 よろしくお願いします!

例題11-9(平面上の1次変換) (³3) 4 行列 | で表される平面上の1次変換 (線形変換)をfとする。 (1) y 軸に平行な直線 x =k は, f によって自分自身に移されないことを 示せ。 (2) f によって自分自身に移される直線をすべて求めよ。 [解説] 素直に1次変換で点を移すのが基本である。 平面上の1次変換 ( 線形 変換)によって,線形写像の図形的イメージをつかもう。 [解答](1)直線x=k上の任意の点(k, t) のfによる像を(x', y' とすると、 よって, x'=3k+t 3k+t (*)-(3 3 ) ( ) = (3x + 4) 4 .4k+3t. 点 (x', y) のx座標が一定ではないので, 直線 x =k は自分自身には移さ れない。 (2) (1)により, 求める直線の方程式をy=ax+b とおける。 この直線上の任意の点 (t, at+b) のfによる像を(x, y とすると x' 3 t 3+α)t b (x)=( ) (²+0) = ((4+30)+1+36) - 2 4 at+b これが再び直線y=ax+b 上の点であるとすると, (4+3a)t+3b=a{(3+a)t+b}+b ∴. (a²-4)t+ab-26=0 これがtの恒等式となるためには, Ja²-4=0 lab-26=0 [(a−2)(a+2)=0 (a−2)b=0 ∴. [a = -2 かつ6=0 ] または [a =2 かつ6は任意] よって、求める直線の方程式は, y=-2x,y=2x+b (bは任意) ・〔答〕

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TOEIC・英語 大学生・専門学校生・社会人

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未習長文E インフォメーションリスト untrustworthy profession psychology not able to be relied on as honest or truthful ajob that needsa high level of education and training the study of the mind and how it influences people's behavior often rewards society often understands and accepts lying. S0ociety deception. 0cupation |confess a job or profession to admit, especially to the police, that you have done something wrong or illegal Something successful or impressive that is achieved after a lot of effort and hard work someone who trains a person or team in a sport a manager in an organization or company who helps make important decisions to express your disapproval of someone or something, or to talk about their faults accomplishment coach executive criticize at times sometimes%;B on occasions an idea or story that many people believe, but which is not myth true exaggerate to make something seem better, larger, worse etc. than it really is to not include someone or something behavior in which you deceive or cheat people relating to feelings of love or a loving relationships intended to make someone believe something that is not leave out dishonesty romantic deceptive ture Conversation an informal talk in which people exchange news, feelings, and thoughts something that is very bad or a failure, especially when this is very annoying or disappointing not often; seldom disaster seldom

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TOEIC・英語 大学生・専門学校生・社会人

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未習長文D インフォメーションリスト |adopt medicine to start to deal with or think about something ina particular wav 1. a substance used for treating an illness, especially a liquid you drink the treatment and study of illnesses and injuries 2. to depend on someone to provide help, advice, etc. to think that you are better than someone else, for example because you are more sucessful, or of a higher social lass than they are fair and sensible look to look down on reasonable can/could afford people were better off using It would be better for people to use traditional traditional medicine rather than medicine rather than having no medicine. no medicine at all. establish to have enough money to buy or pay for something to start a company, organization, system, etc. that is intended to exist or continue for a long time 1.(n) the work of a doctor or lawyer, or the place where they work 2.(v) to use a particular method or custom the act of starting an organization, relationship, or system the process or fact of being received as adequate, valid, or suitable practice establishment acceptance a small creature such as a fly or ant, that has six legs, and sometimes wings anything that is living, such as an animal, fish, or insect, but not a plant a plant like a small onion, used in cooking to give a strong insect creature garlic taste bacteria very small living things, some of which causes illness or disease a chemical substance found in your blood. cholesterol in your blood may cause heart disease. to absorb something into the body, for example by breathing or swallowing a scientific test done to find out how something reacts under certain conditions, or to find out if a particular idea is true (v) to make something less dense or numerous look at something again closely if someone has a stroke, an artery (tube carrying blood) in their brain suddenly bursts or becomes blocked, so that they may not real or not made of natural things but made to be like something that is real or natural a substance used in chemistary or produced by achemical cholesterol Too much take in experiment thin take a second look at stroke die or be unable to use some muscles artificial chemical process to help to make something happen to help to make something happen Contribute think highly of o place Migh value on

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