11.4.4. f(x1,x2, X3, X4, X5) = (T1eª2, x3e¬²4, x5e*1), a = (0, – In 6, 4, ln 2, 11). %3D

Q: For back substitution with a band matrix (width w ), show that the number of multiplications to…

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Q: Find the characteristic equation of the matrix: 4 C = 2 -2 2.

A: Characteristic equation of the matrix C is given by  det ( C - λI ) = 0

Q: Q2: (a) For given matrix A, find a 3 x 3 non-singular matrix P such that p-1AP is diagonal. A = |-3…

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Q: What is the Jacobian matrix J(xk) equal to?

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Q: Using v1 = w1 and v2 = w2 find the standard matrix for these T's: (a) T(vi) = 0 and T(v2) = 3v1 (b)…

A: The linear transformations are defined as: (a) Tv1=0, Tv2=3v1 (b) Tv1=v1, Tv1+v2=v1 To Find:…

Q: (f) What is the first-order condition implied by unconstrained maximization of I1 X 1333 X, where x…

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Q: Let A be the matrix 2 6 3 7 Find p(A). p(x) = x' – 2x + 4 i i p(A) = i

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Q: T(x, y) = (-x, 4x + 8y, 9x − 3y, 6y – 5x). Find its associated matrix A. A = JUL

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Q: e/ By three ways Show that B= %3D isorthogunal matrix

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Q: span Exercise 4G. Let A be an n x n matrix with linearly independent columns. Explain why the…

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Q: Calculate the second and third derivatives. 2 y = x* – 4x? + 6æ 3y" = y/" = %3D

A: This question is based on application of Derivative.

Q: Q6. Consider the function f: R³ R² defined by f((x, y, z))= (-2r, y + 32). (a) Show directly that f…

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Q: nother Find the transition matrix from B to B'. B = {(-1, 0, 0), (0, 1, 0), (0, 0, -1)}, B' = {(0,…

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Q: Let A, be Hermitian matrix witho (A) = 1,-1 and B, is a Hermitian matrix with o (B) = 0,-2, then one…

A: We have to solve given problem:

Q: 2)} and 0 4 A = 2 3 . be the matrix for T: R2 → R? relative to (a) Find the transition matrix P

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 1. (Your instructor forgot to do this example in class). Let W = = Span (a) Find a matrix A so that…

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Q: 3) Let A = 2 -1 Find a matrix P that orthogonally diagonalizes A. Use P to com- 0 -1 pute A5.

A: Given, A=11012-10-11first we have to find a matrix Pfor eigen values of…

Q: TV T(x, y,2)=(xry, q-2, x-2) 1. Fond the matrix A represmting T Fnd matrix B repregenty 2. 3.…

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Q: Let B = {(1, 3), (-2,-2)) and B' = {(-12, 0), (-4, 4)) be bases for R2, and let A = 02 be the matrix…

A: As per guidelines of bartleby we solve only first three parts.

Q: Find the 3x3 matrix that induces the described action on R3. Rotates the yz plane  by 45 degrees,…

A: We have to find 3×3 matrix that rotates the yz plane by 45 degrees and reflects the x-axis.

Q: Find the matrix for T(w) = proj, where = [4 8 -2].

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Q: Find the Jacobian matrix of the function らt F (6,t) =(st, s+ t

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Q: 5) Find dx/dt of Matrix: X 5e-1 2e-¹ -7e-t

A: We know , d/dx(e-t) = -e-t   Given X = 5e-t2e-t-7e-t

Q: [r(t)] [y(t)] What is the geometry matrix for this spline function? P(t) where x(t) = 2t3 + 3t2 – 6t…

A: The given spline function is, Pt=xtyt  where xt=2t3+3t2-6t+1  and  yt=3t3-4t2+3t-1 The geometry…

Q: t Let A be the matrix: A = 2-1 2 2 1-3 The eigenvalues of A are A₁ = -2 (with AM-1) and A2 = -1…

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Q: (2) Suppose A = (a) Diagonalize A (find an invertible matrix Pand a diagonal matrix D such that A =…

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Q: Using the equation for the time derivative of a DC matrix C, W2 -W3 Ċ + S(@)C = 0 where S(@) = | w3…

A: We are given the following equation.   C˙+S(ω⇀)C=0 where S(ω⇀)=0-ω3ω2 ω30-ω1 -ω2ω10 Let us denote…

Q: 3. Let y is a function defined as y(s)={SB:s is student ID, S: ith digit). [6] For example, student…

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Q: Let B = {(1, 3), (-2,-2)} and B' = {(-12, 0), (-4, 4)) be bases for R2, and let A-[28] = 40 be the…

A: Since you have posted a multi subparts question according to guildlines I will solve first(a,b,c)…

Q: 8. The Cramer's Rule fails to apply to a linear system Ax = b, where A is a square matrix, if (a)…

A: Solution: Given data, In Cramers rule we have to find the determinent and it is divided with 1.