[30 0 09 0 A = 00 -1 Define the linear transformation T: R³ → R³ by T(x) = Az. Find the images of u = 2 2 T(u) = T(v) = -5 and 7 = under T.

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A: Topic = Circle

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A: topic- system of  non linear equations

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A: Given function: y = sin(3x)

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A: solutions     Given that the matrix is

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A: Given ;a*b=a+b-1

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A: Here, the region bounded by the curves y=x3& y=x2 is: The curves intersects at (0,0) and (1,1).

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A: …

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A: We will solve the problem

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A: Given that two matrix (2×2)  and we simply these matrix here we use simple property of matrix.…

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A: We are given sales slip. We need to find that how much changes Valentinaget back from a $ 20 bill.

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A: V,+,. be a vector space over ℝ and W⊆V.i) W≠ϕ andii) For every w,u∈W and every k,m∈ℝ, ku+mw∈W.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Explained below

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A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: ungles of the given triangle. 80 m A- 79 m B a C

A: We will use Pythagoras theorem to solve this question.

Q: TYPEWRITTEN ONLY PLEASE FOR UPVOTE. DOWNVOTE FOR HANDWRITTEN. DO NOT ANSWER IF YOU ALREADY ANSWERED…

A: To find out the determinant.

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Q: QUESTION 1 Show that W = {(a, 0, b)|a, b = R} is a subspace of R³.

A: Let W is a subspace of a vector space V if and only if  u+v∈ W  for all u,v ∈W α.u∈ W  for all α∈ F…

Q: 2.) 2 6 5 3 2 [100 + -6 -6 2

A: 26-64(53-62+1220)