2- If x= [2 8 5; 9 7 1], b=[24 5] find: a) find the maximum and minimum of x. b) find median value over each row of x. c) add the vector b as a third row to x.

Q: 3. Prove that if P, Q, and R are three points on a line, then exactly one of the points is between…

A:

Q: Determine the value(s) of k such that the lines 2y= -kx +6 and 3y-x= 2kx+3  are perpindicular.

A:

Q: Consider j1,ỹ2, ỹ,ER° and that ỹ,+y;+ÿ;=0. For Î=span{ÿ, ,ÿ and Y=span{ÿ2, ÿ}, show that Ý=Ỹ.

A: Given y1→, y2→, y3→∈ℝ5 such that y1→+y2→+y3→=0. Let Y^=spany1→,y2→ and Y~=spany2→,y3→. To show…

Q: A is symmetric

A: In this question, we have to check the matrix A is symmetric or not.

Q: For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line r = (2,−1, −2) + t(3,1, −2)…

A:

Q: Use coordinate geometry to prove that the median of a trapezoid is parallelto each base

A: Trapezoid is a shape with 4 sides and one pair of opposite sides parallel.

Q: Use the Least-Square method to find a line in the form of a= do – d · I that best fits the following…

A: I try to solve by different method. This one is simple method.

Q: 5. Construct a copy of the line segment below. U V

A: To construct a linesegment by copying using a compass

Q: Prove that given lines are skew. L1: [x, y, z] = [1, 3, 7] + t[–1, 1, 2] L2: [x, y, z] = [4, –2,…

A:

Q: Consider the set C = {x : Ax < b}, A e Rm×n and be R". Describe the set7 of feasible directions d at…

A: Given: The set C=x:Ax≤b, A∈ℝm×n and b∈ℝm   To describe: The set of feasible directions d at a point…

Q: Determine the value(s) of k such that the lines 2y= -kx +6 and 3y-x= 2kx+3 are parrallel.

A:

Q: What point divides the directed line segment AB into a 2 : 3 ratio? A B. 4. 2 3 6789 10 11 12 13 14…

A: Our Aim is to tell the point which divides the directed line segmentAB⇀ into a 2:3.

Q: Show that these two lines are coincident. L1: [x, y, z ] = [1, 5, − 2] + s [1, 7, − 3] L2: [x, y, z…

A:

Q: For what minimum integer value of a, will the line ax+(a+1),y=18 (a> 0) have two intersection points…

A:

Q: Calculate the length of the path over the given interval. (4t2, 8t² – 1), 0 <t<4

A:

Q: Use the side-splitter theorem to solve for x in the triangle below.

A: Given,

Q: How many points need to be in a set in R° to guarantee that the set is affinely dependent? А. 11 В.…

A: According to the given information, it is required to tell the number of points in a set R9 to…

Q: Let C be the line segment connecting the points P(−2,1,−4) and Q(5,−4,3). Evaluate ∫C(2x+4z)dy…

A:

Q: , what is the z-coordinate of a point in P?

A: In this question, we find the average value of the z- coordinate in the given region bounded by…

Q: Prove that C is on the perpendicular bisector of segment AB.

A: Solution:Given A(-4,-3), B(6,1) and C (5,-11)To Prove: C is perpendicular bisector of ABi.e., to…

Q: The linearity between two variables X and Y, in pairs, defined as X=[4,2,3,5,2,4] and…

A: Linearity x y xy x2 y2   4 6 24 16 36   2 4 8 4 16   3 6 18 9 36   5 8 40 25 64   2 5…

Q: Determine the value of each variable for parallelogram INDY that has diagonals that intersect at P.…

A: Given Data: The length of IP is: IP=3x The length of DP is: DP=6x-2 The length of NP is: NP=3y The…

Q: Find the best-fit line associated with the set of points. (1, 5) (3, 14), (5, 24), (7, 0) O y = 2.0x…

A: Consider that x is the independent variable and y is the dependent variable. The size of the…

Q: Family OF lines parring through (0, -4)

A: Given that family of lines passing through (0,-4). To find differential equation based on above…

Q: Which of the following points is closest to (1,0, 1,0, 1, 1) using Hamming distance? O (1,1,1,1,1,0)…

A:

Q: If l,, l2, and l3 are nonconcurrent lines, prove that there exist three points. Exactly one each…

A: Three or more points are said Lto be collinear if they all lie on the same straight line If l1 , l2…

Q: Prove that for each point the are at least two straight lines that pass through it, accordir to the…

A: There is a point and we have to show that 2 or more lines can pass from that point.

Q: Let points A, B, C, and D in R3 have respective coordi- nates (1, 2, 3), (−2, 3, 5), (0, 3, 6), and…

A: A1, 2, 3, B-2, 3, 5, C0, 3, 6  &amp;  D3, 2, 4. Now,…

Q: Show that -ydx+xdy) = x₁y₂-₂₁ where C is the line segment joining (x,y) and (x₂,₂).

A: We have to prove ∫C-ydx+xdy=x1y2-x2y1 Where C is the line segment joining x1,y1 and x2,y2 Now…

Q: By using the calculus of variations, prove that the shortest distance between two points in the y z…

A: The functionals with in the calculus of variations are of the form V[f(x)]=∫abF(x,y(x),y'(x))dx The…

Q: R M N In trapezoid RSTV of RS || VT and MN is the median. Find x if VT = 2x + 9, MN = 6x 13, and RS…

A: To find x

Q: Find the norm of the image of U(7, 8) by an reflection about y-axis Answer:

A:

Q: Calculate the length of the path over the given interval. (4t², 8t² – 1), 0 <t< 4 |

A:

Q: Let L, be the line passing through the point P1=(-1, -2, -2) with direction vector d-[-3, -3, 1]",…

A: L1 is the line passing through the point P1(-1 , -2, -2) with direction vectord→ = -3, -3, 1Tand L2…

Q: Find image of a and preimage of b T(v1, v2, v3) = (4v2 – v1, 4v1 + 5v2) v = (2, -3, -1) , w =…

A: Given, T(v1, v2 , v3 ) = (4v2 – v1 , 4v1 + 5v2) v = (2, -3, -1) , w = (3, 9)

Q: Construct a box-and-whisker plot f of 18.5, and a maximum of 22. So

A: Given,                    Minimum=12 First Quartile(Q1)=15.5                 Median =17Third…

Q: Consider any eight points such that no three are collinear.How many lines are determined?

A: Given :                         There are 8 points    To find :                      To…

Q: Prove that the diagonals of any parallelogram bisect each other. (Hint: Label three of the vertices…

A: Given:- ABCD is a parallelogramTo prove:-AO=CO                 DO=BOProof:-In ∆AOD and ∆COB∡OAD=∡OCB…

Q: If U=[0 00 00012 34 5677777 7], the number of points consisting the B-spline curve are:

A: Given - If U = 0 0 0 0 0 0 1 2 3 4 5 6 7 7 7 7 7 7 To find - The number of points consisting the…

Q: If EFGH is a parallelogram whose diagonals meet at point X, then EX = XG and FX = XH . OTrue O False

A:

Q: Q2) Find the least -5quaras line y=fca) = Ax +B for the following data 2 2. -1 2. 3.

A:

Q: 13. XPOQY and AOB are straight lines. PO =0Q and 21 = L2. Prove that ZA = ZB. B. A

A: That's easy. Have a great day!!!

Q: Find the distance between the skew lines r(t)=⟨3,−2,−4⟩t+⟨−4,−2,5⟩ and p(s)=⟨5,2,1⟩s+⟨−6,4,7⟩

A: Given r(t)=⟨3,−2,−4⟩t+⟨−4,−2,5⟩ and p(s)=⟨5,2,1⟩s+⟨−6,4,7⟩

Q: A farmer wants to increase the triangular area he has fenced off for his cattle to graze into a…

A:

Q: What point divides the directed line segment AB into a 2:3 4. ratio? 3- -2- 456 89 10 11 12 13 14 15…

A:

Q: Consider the points P=(20,n,21) and Q=(10,0,10). n < 0 y ||PQ|| = V230 %3D If it holds that then it…

A: The points P=20, n, 21 and Q=10, 0, 10Where, n&lt;0If PQ→=230Then to find the true statement about…

Q: show.. that. the line in.which. and. .5Xm2y.Z==.0. jntersect..is

A: Equation of the plane: - In three-dimensional space, a plane surface is represented by an equation…

Q: Compute yds where C is the line segment from (1, 2) to (4, 7).

A: We know that,       . Now,

Q: By using the calculus of variations, prove that the shortest distance between two points in the y z…

A: