-16] --14] Let ai -20|, a2 = -16 and az = –18 -4 -4 -4 The set {a1, a2, az} will span R' unless h =

Q: @ In a G Survey the 100 out-patient who reported at a hospital one dey, it was found out that 70…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

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: Let u = (3, 5, -7) and v = (6, -5, 1). Evaluate u + v and 3u - v.

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Q: 1. If there are 8 distinct points on a plane with no three of which are collinear, how many…

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Q: Does either of P = (4, 11, 20) or Q = (-1, 6, 16) lie on the path r(t) = ( 1 + t, 2 + t 2, t 4)?

A: Given rt=1+t,2+t2,t4

Q: Show that both ℝ and ℝ2 may be covered by countably many open balls.

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Q: Let ū (7, – 4, – 2) and i (6, – 1, 4). - - - Compute the following: v x ú = || и хиE 5(ū x i) = йх…

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Q: 16.) If u= (2, k, 1, 4) and v= (3,-1, 6,-3), find k such that ||u – v|| = 6

A: Given:        u=2,k,1,4         v=3,-1,6,-3     u-v=6      u-v=2,k,1,4-3,-1,6,-3…

Q: Suppose i = (-3, –3, –5) and v = (-1, –5, –1). Then ů x ở is and i x ũ is

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Q: 9. Express the gcd(117,213) as a linear combination of s and t such that gcd(117,213) = 117s + 213t…

A: To write the gcd(117, 213) as a linear combination.

Q: 3 10. Show that R² span

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Q: 3. Show that B = {0, 1, 2, 6, 9} is a difference set in Zjj. What are the parameters of the SBIBD…

A: For the given question ,t he first thing to do is to find the value of λ. Then, we will proceed…

Q: 1> =a,-4,57is to U=2,-4,5 812.Detemmine -> onthogonal

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Q: Our aim is to write the gcd(200,113) as a linear combination of 200 and 113. By writing…

A: In this question we have to find gcd(200, 113) and value of s.

Q: Our aim is to write the gcd(200,113) as a linear combination of 200 and 113. By writing…

A: The greatest common factor can be calculated using the Euclidean algorithm. In this algorithm the…

Q: 2. and as= Determine ifb=-1 =-2 is a linear combination ofaL az

A: Follow the procedure given below.

Q: Let a=⟨−3,−2,2⟩ and b=⟨−4,−2,0⟩ Compute:

A: Given that          a = <-3, -2, 2 >    and    b = <-4, -2, 0> Here we have to compute…

Q: Determine the projection of b = (2,1, –1) onto ā = (1,0, –2).

A: According to the given information, it is required to find the projection.

Q: Show the the Sar induce

A: According to the given information, it is required to show that equivalent norm on a vector space X…

Q: 2.6 Using the Venn diagram to prove that (x1 + x2 + x3) • (x1 + x2 + x3) = x1 + x2

A: claim- use venn diagram to prove that  x1+x2+x3·x1+x2+x3=x1+x2 let x1  x2 x3

Q: Hew.b prove that CAXB)-Ais atways-Zero

A: Topic:- vector  algebra

Q: -5 u1 u2 U3 U4 = -5 , u5 = U6 = 5 u7 = -16 , U8 -1 4 4 -4 Compute projs u8, where s= span{us, u7}.…

A: Here we use dot product to solve this problem.

Q: 3. Show that if A-1 exists, then eAT dr = A-1(eAt – I) = (eAt – I)A-1.

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Q: If A = 2x²,-3yz, xz² and qp = 2z - x³y. Evaluate A Vop and A x Vp at the point (1, -1, 1).

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Q: Let A = {(1,2,2, 1), (2,2, 1, 3), (-1,2,4, –3)}. Then dim(span(A)) Is equal to:

A: Firstly find the RANK

Q: Prove that Vtan a de – 7//2.

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Q: 3. Show that Z, -

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Q: 4) Again let Universe U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. Let S = {1,2}, T = {2,4,6, 8}, R =…

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Q: 4.4 Find a set of 3 points in S' so that dcos does not satisfy the triangle inequality.

A: Please check step 2 for the solution.!

Q: 4. Prove that, VR, -11-

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Q: 2. Let A = {0, 1, а, b, 8, 10, с, — 4}, В %3 {3, 1, 9, e, а, с, 0}, and C 3D {2, с, 10, 9, 8, —4,…

A: solution of the given problem is below...

Q: Determine if the set is linearly independent. S = {(4,0,1), (0, -3,2), (5,10,0)}

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Q: Show that A° = A°-0- and A-o = A- %3D

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Q: Let Az = { k, k + 1, ..., k²}, for k 1,2,3, .. Find U은1Ak-nE1 Ax

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Q: ,- ). Show that there a 3,4

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Q: Fiven with z1 = (-3,1) and z2 = (1, 4). Show that |21 2| = |21||2|- %3D

A: Complex number and it's modulus

Q: Let S = {2x, 1 –- x, x2 + x- 1, x + 1}. Then S is a %3D

A: for a basis we need to check that a set must be linearly independent and spans the whole vector…

Q: If z, is a point on locus given by z+ 8 <2 and z, is a point on locus given by z+3|+ z-3| 10 then…

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Q: A study by Forbes indicated that the five most common words appearing in spam emails are shipping!,…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: let u=(8,0,-8) v=(8,3,16) find Il v||

A: ||v||=√329

Q: Our aim is to write the gcd(200,113) as a linear combination of 200 and 113. By writing…

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Q: If u = [3, - 1] and v = [1,4],compute and draw u + v.

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Q: 50 6 7 -> OURSTUDYBEGINS |- Find the dipeerential giren y:(It t)'

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Q: A preimage can never be congruent to its image.

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Q: Show the Complete S lu fwn i 3 ナ *

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Q: Let u= (4,15) and v=(2,-3,1). Then (2u+v).(u-3v) is equal to:

A: Given,    u=4, 1, 5, and v=2, -3, 1

Q: Prove that √2+√5 is irritational

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Q: Let S = {2x, 1 – x, x² + x – 1,x + 1,x – 2}. Then %3D P3 P2

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Q: Suppose ū = (1,-5, 1) and ī = (0, –5, 3). Then: u + v= и — 0% U - u= 5u= 2u – T0=

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Q: 5. Deduce from (4) that the set {2} 2-: n = 1, 2, 3, ... is closed in R.

A: Given set  S =2 ∪2-1n  :  n=1  2,  3 , . . .