Given the following basis B and vector space V use the Gram-Schmidt procedure to find the orthonormal basis. = {(1, 2, 1), (1, 1, 3) (2, 1, 1)}, V = R³ B = Check if the following mapping is linear transformation or not. Justify your answer T: R² → R³ T(x, y) = (5x, x - 2y, y - x)

Q: Please help with the transfer function.

A: Step 1: Laplace Transform the System of EquationsGiven the system of differential…

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A: # Define a matrix A with three rows in R^3 A = np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]) # Apply…

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A: Step 1: Step 2: Step 3: Step 4:

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Q: Х CA-AC=1B 0 1 0 0-i 0 1 1 3. Given the matrices A = 1 0 1 B = i 0 -i √2 0 1 0 √2 0 i 0 !), and C 10…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the solutions to the following intial value problems.

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A: Part 2: Part 3:Conclusion Discussion of the ImageThe image below  illustrates the torus and the…

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A: Step 1: GivenE[(X−1)2]=10E[(X−2)2]=6 Step 2:Expand E[(X−1)2]=10E[X2+1−2X]=10E[X2]+E[1]−2E[X]=10The…

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Q: Answer questions four only and it's a different equation problem show all work

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Solve the 1-dimensional heat equation problem. ди Ət u (0,t) u (x, 0) = = = 2- J²u მე2 u (5,t) = 0,…

A: Step 1: Given-One dimensional heat equation is δtδu​=2δx2δ2u​. The given boundary conditions are…

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A: The function given is n3(2n+1)(3n+2)(4n+3). We are asked to find the limit as n approaches infinity.

Q: find the relationship between dt Ⓒ Y [s(t)] = "je = f(t) St and 8 "N[SI] = 5 est f(ut) dt © V [f(t)]…

A: The two pairs of transforms in the question through scaling and structural modifications relate to…

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Q: What are the steps that I can use to get the role echelon form?

A: Step 1:The given matrix is: M=[1−5​2−5​−2−1​] The following steps are applied to get the row echelon…

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A: OUTLINE of the solution:1. Data Visualization:a. Construct histograms for the test scores of both…

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Q: 4. Determine conditions on the right-hand side values b; such that the given system has solutions.…

A: First, we write the system of equations as an augmented matrix. The augmented matrix is a compact…

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Q: 3. A relation p on a set S is said to be circular if and only if for every x, y, z Є S, xpy and ypz…

A: Circular Relation DefinitionA relation p on a set S is circular if and only if for every x,y,z∈S, if…

Q: cuemath Percentage Word Problem worksheet 4 Selve the following to the attached paper Show your 1.…

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A: We find an orthogonal basis for P2 (the space of polynomials of degree at most 2) with respect to…

Q: 6. x 1 Let S = {1, 2, 3, 4}. Define functions f,g: SS as 2 3 4 f(x) 1 1 22 g(x) 4 3 2 1 (a) Find…

A: f ∘ g is a composite function, this reads f of g and is equal to f(g(x)).It means that the output of…

Q: Solve the differential equation by undetermines coefficients. y'' + 2y = -18x2e2x

A: Step 1: Step 2: Step 3: Step 4:

Q: Answer questions one only and it's a different equation problem show all work

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Q: Please solve and show all steps and work.

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Q: 2. If A = 2 -1 1 1 -[30 .1 -3 0 find all solutions of AX = O by row-reducing A.

A: Step 1: The coefficient matrix is given as⎣⎢⎡​321​−11−3​210​⎦⎥⎤​ Step 2: Apply the row…

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Q: One cannot fail to notice that in forming linear combinations of linear equations there is no need…

A: # Visual representation of the rank-nullity theorem in R^3 fig = plt.figure(figsize=(12, 8)) ax =…

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A: Question: Multivariate regression analysis using R # Load required libraries library(tidyverse)…

Q: *1.7 For any set X prove that ✗| is strictly smaller than |P(X)]. [This is evident when X is finite.…

A: Step 1:Problem 1.7:Statement: For any set X, prove that |X| is strictly smaller than |P(X)|, where…

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A: Step 1:There are only 39 observations available in the dataset, so this question is solved using…

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A: Step 1: Find the Indicial RootsTo find the indicial roots, rewrite the equation in the standard form…

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Q: ... Let B = {b₁, b₂, b3} where b₁ = -4 1 3 b3 = 0 B-A-B 3 b2 = 3 2 of x relative to B, if x: = 10…

A: Step 1:Step 2:Step 3:

Q: Let V be a recton space on F. Let B' and B be tuo boses of V. Let P= {(x,f): EB' over fix-B", and…

A: Step 1: Understand the problem setupV is a vector space over a field FFF, and it has two bases B′…

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Q: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use Artificial…

A: If you have any problem let me know in the comment section thank you.

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A: Trigonometric functions (sin or cos) are characterized by the form of:y = Asin(B(x-C))+Dwhere:|A| =…

Q: Instructions: *Do not Use AI. (Solve by yourself, hand written preferred) * Give appropriate graphs…

A: Use this python code:# Re-plot the original vectors and their images under the duality mapping…