12. Let S = span {(-)-(- -)} (a) -{0-0-6)} (b) 5 (c) ~ {(-9)-(-)} {(-9)} •{(-)-(-)-()} -{(G)-()} 3 4 Which of the following sets is a basis of S?

Q: 10 What is the preimage of (3, 5) under the translation (x, y) (x-4, y + 6)? O (7, -1) O (1, 1) O(1,…

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Q: =) Prove: If A is invertible, then det(A-1) = ) Prove: If A is inverible, then adj(A) is inve

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A:

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A: Given function is f: ℝ - -12 → ℝ--32 such that f(x) = 3x-52x+1

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Q: 1. Let 1 -0-0-0-0 = = = (a) (5 points) Find a orthonormal set {q1, 92, 93, 94} such that span{a₁,…

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A: This question is from MATLAB. We'll run the given commands and get the result as solution.

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A: You posted multiple questions. As per our policies solving first question.

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Q: Calculate ∪∞n=1 An and ∩∞n=1 Anwhere for each n ∈N the set An is defined as:…

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Q: 2- y"' = 0 3- y" + z' = 0; z" + y' = 0 %3D

A: (Sol - 2) From the given information. The differential equation is .

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Q: Let C(x, y) mean that student x is enrolled in class y, where the domain for x consists of all…

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Q: (b). Let Y = {a, e, o, i, u}, take two relations R and S on Y and Prove that (SoR)-1 : R-1os-1.

A: composition of relations

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A: This question is about application of Boolean algebra

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Q: 19) (-3,9) (-∞, ∞) C) [0, ∞] B) (-∞, 9) u (9, ∞) D) (-∞, -3) u (-3, ∞)

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Q: Let such that 1 0 1 -1 2 -6⠀⠀⠀-0-0 1 1 3 -1 b 000 0 Then there exist scalars b A True False = X1,…

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Q: 5. For which value of x do the following vectors form a linearly dependent set in ¹ X₂ G

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Q: 25. Find Uge B and Be B for each collection B. BE 4 (a) + *+{[11] N}*(0) + {[L1 =): N} N}₁ B+ :n (c)…

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Q: span (EE-EE) 3 O 2 O (A) and (B) O (A) ... = span Neither (A) nor (B). (B)... = span (4-6-8) 2 3 2 5…

A: Given that, span121, 031, 004, 152 We have to find the equivalent spanning set.

Q: 15. F(x, y, z) = xye¹i — xªyze¹j + xy²e³k

A: Given vector field is F(x, y, z) = xyexi - x3yzezj + xy2eyk Here Curl F =…

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Q: Let H be a Hilbert space and A E B(H). Show that (ker A*)+. (a) Image A = (b) ker A = (Image A*)+.

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Q: a. Show that by using Laws that if the compound statement is logically              equal.…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Let (a) H = {(), (1,2), (3 4 5 6), (35) 46), (36 54), (12) ( 3 4 5 6) (12) 35)(46), (12) (3654) 3 K…

A:

Q: (b) Evaluate at the point (s, t) = (1, 2). Əsət

A: As per requirement, we we solve part b) only Given function is z=fst-3,s2+t3 f1-1,9=3, f2-1,9=7,…

Q: Find a, b, and c if [a b c]+[c a b]= [3 2 -1] Given: 0 4 - [³ - 2 - 4 ]- B - [ - 2 - 6 ], and C-[₁7]…

A: Please find the explanation below. Thank you.