1. Under a matrix transformation, M = [a bcd], the points V and W are mapped onto V' and W' such that: V(3, 5) O V (5, -3) W(7, 2) I W' (2, -7) (i) Determine the values of a, b, c, and d. (ii) State the coordinates of Z such that Z(x, y) V'(5, 1) under the transformation M (iii) What matrix transformation represents M?

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Answer question iii

1. Under a matrix transformation, M =
[a bcd], the points V and W are
mapped onto V' and W' such that:
V(3, 5) O V' (5, -3)
W(7, 2) I W' (2, -7)
(i)
Determine the values
of a, b, c, and d.
с,
(ii)
State the coordinates
of Z such that Z(x,
y) V'(5, 1) under the
transformation M
(iii)
What matrix
transformation
represents M?
Transcribed Image Text:1. Under a matrix transformation, M = [a bcd], the points V and W are mapped onto V' and W' such that: V(3, 5) O V' (5, -3) W(7, 2) I W' (2, -7) (i) Determine the values of a, b, c, and d. с, (ii) State the coordinates of Z such that Z(x, y) V'(5, 1) under the transformation M (iii) What matrix transformation represents M?
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