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Rakesh Kumar posted an Question
August 10, 2020 • 18:45 pm 30 points
  • IIT JAM
  • Mathematics (MA)

( let t: r? r be a linear transformation of the 2-dimensional vector space r2 (the x-v-plat to itself which is the reflection across a line y = mx for some m e

( Let T: R? R be a linear transformation of the 2-dimensional vector space R2 (the x-v-plat to itself which is the reflection across a line y = mx for some m e R. Then the matrix representation of the linear transtormaticn With respect to the standard ba B fe,, e,} of RR, where 6. e, 1 1-m 1+m 1 1+m 2m 1+ m 2m 2n (A) (B) m-1 2m m-1 1 1-m 2m None of these (D) (C) 1+m m +1 2m I at

3 Answer(s) Answer Now
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  • Anuj s. best-answer

    here is your solution option " A" is correct if any doubt, you can ask we will discuss

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  • Shashi ranjan sinha Best Answer

    see the attachment

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    Yes...ask ur doubt

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    first step samjh nahi Aya

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    about the line y = mx ,point ( a,b) reflection k baad jis point p jaata hai wo point hum jo formula likhe hain usme RHS side k point hai... isliye T(a,b) = that point

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    T point (a,b) ko uske reflection point p map kar raha hai.... isliye T(a,b) = that point

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    see the graphical representation for better understanding

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