Create two 2 x 2 matrices A and B, to show that (A+ B) - A+B is not always true. Clearly write A, B, (A+ B)- and A+B 4.

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A: We say a square matrix is diagonally dominant if we have the diagonal entry of each row has an…

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A: Given the plane r→=-2,1,5+s3,-2,0+t1,1,5,s,t∈ℝ We have to find the volume of the pyramid.

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Q: The Laplace transform of f(t) = is 1

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Q: Given H = a) Show that His a subgroup of A4- b) Find all the left cosets of H in A4. c) Find all the…

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Q: Find the minimal Spanning tree for the following graph. Consider "A° as the starting node. 1 10

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Q: 2 Show that the following functions are harmonic in x and y a- e*cosy b- x- 3xy2 c- log x + y2

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Q: 3. Let W be the subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

A: Given W be, a subspace spanned by u's where, u1=111, u2=-13-2

Q: et A = [aj¡], 1 s i, j<n with n 2 3 and ajj = i. j. Th ank of A is:

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Q: Q6 |(a) Using the Euclidean algorithm, find a particular solution of the linear Diophantine equation…

A: We have given a Diophantine equation ,  16x + 21y = 64 Compare it with , ax + by = c We will get , a…

Q: 18. Find the surface area of the sphere with radlus 5 by dou- bling the surface area of (x, y)…

A: Given: f(x,y)=25-x2-y2 is the surface bounded by the circle x2+y2=25 where radius, r=5

Q: A) If (xn) is a decreasing and bounded sequence. Prove that (xn) is convergent with lim xn = inf (xn…

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Q: The value of the double integral // (42y – 12x) dA where D D = {(x, y)|0 < x < 4, (x – 2)² < y <6}…

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Q: Evaluate int int int _D sqrt(x^2+y^2) dV, where D is the region bounded by the cylinder x^2 + y^2 =…

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Q: Define a linear transformation T:P3>P3 by T(p) = p(0) + p(2)t – p(0) t²- p(2) t³ Is p eigenvector…

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Q: 3. Let W be the subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

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Q: Answer the question below: Do not evaluate The student should setup the iterated double integral…

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Q: Evaluate the iterated double integral: x+4 sin (y³ – 3y?) dy dx

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Q: 1. The sum of the digits of a 2-digit number is 10. If the number is divided by the units digit, the…

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Q: Solve the initial value problem below using the method of Laplace transform w"-2w' +w= 5t + 11, w( -…

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Q: Let A be an mxn matrix. Consider the following statements:   1.  The set of solutions of the…

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Q: Show that \sin{(3x)} = 3\sin{(x)} - 4\sin^{3}{(x)}\text{.} You will need to use five expressions in…

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Q: If w varies directly as x2 and inversely as y3 and w = 3/4 when x = 6 and y = 2, find x when w = 6…

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Q: The general solution of the homogeneous differential equation 3x y" + 7xy + y = 0 can be written as…

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Q: Solve the given problems. 1. Determine the distance to the center of mass of the homogeneous rod…

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Q: b) Determine the value of the fund in year 2007. A(Ctrl) -

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: Find 1341 (mod 713). Your answer should be an integer of the form a, where 0 <r< 712. Make sure to…

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Q: Create two 2 x 2 matrices A and B, to show that (A+ B)- A +B is not always true. Clearly write A, B,…

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Q: provide answer fo

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Q: Example: Use RK method to solve y' = y, h=0.1, y(0)=1 calculate error use n=1

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Q: tan x

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A: After substitution the given function can be written as follows:

Q: Graph the region bounded by the curves y =x, y=. Find the centroid of the region.

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Q: Determine the particular solution z(x, y) of the partial differential equation a²z 10x³y + 12x?y2…

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Q: Find a new representation of 11x2 – 50/3xy – 39y² + 576 = 0 after being rotated through an angle of…

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Q: 4. For each set of sign charts in the following Exercises, sketch a possible graph of f. -2 + 2 (a)…

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Q: 1 (5* )csch- Vx² +1 (a) Find dx x > 0. y = 3 (eosh S* ) In Vx² +1 .2 (b) Show that for x 2 1, coshx-…

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Q: 14) Detenmine wnether the (-1)^ Series na2 nIn(on) Converyas or alsolufely Conditionally absoletely

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Q: 4. A particle of charge q = B = (7 + m)j + 2k and electric field E = 5î – ĵ + (2 + m)k . moves in…

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Q: d) If 72 = 1 (mod 5), with 0<r <4, then z =. e) The number of (positive) divisors of 23345 is

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Q: Rung-kutta thad to solve use me hors

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