(4) Given matrix A and that h(T) = T? – 2T – 7, find h(T). =

Q: • The Matrix B from 3 x 2 at by = 1- is 1. 3. 4. 1 -2

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Q: Let A be a constant 4 x 4 matrix. It is know that the general solution of a system of linear…

A: A matrix is said to be diagonalizable if   Algebraic multiplicity of eigen values = geometric…

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A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: 6. Consider the following linear system of differential equations: dY [ -1 5 2 1 Y. dt (a) Determine…

A:

Q: Let x = [X₁ X2 X3]. Find the matrix A such that the system x' (t) = Ax(t) + f(t) is equivalent to…

A: Here is the solution of the given problem. Differential equation to system of differential equation.

Q: Solve for the matrix X if AX(D+BX)~' = C. Assume that all matrices are n X n and invertible as…

A: Given that AXD+BX-1=C Pre-multiply by A-1 A-1AXD+BX-1=A-1CXD+BX-1=A-1C post multiply by D+BX…

Q: Find values for the variables so that the matrices are equal.

A: Given that the matrices are equal. x4=6y

Q: 4. Find the standard matrix for T where Ta2) =(2x,+x -2,).

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Q: Let A 1B = 5 l, and C-1 = If X is a matrix that satisfies: %3D %3D 2B = Al2 - XC then X is

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Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 – 2xy – 2xz –…

A: Step:-1 Given quadratic form is  Q=2x2 +2y2 +2z2 -2xy -2xz -2yz Q=xyz 2-1-1-12-1-1-12 xyzQ=XTAXHere,…

Q: Given the following R2→R function: b) f(x,y)= x2+5y2-2x-20y+24 Find and analyze the nature of the…

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Q: Let A(t) be a n × n matrix whose coefficients are continuous functions of t on the interval (α, β).…

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Q: find the Lineartransfromation T:Maxz (R) /R whose matrix MT with vegard tothe base and the base…

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Q: Reduce the quadratic ferm 34*+5y+32²- Caronical form matrix of t rans 2 2 + 2z x to the and 8pecity…

A: Our main interest lies in finding a suitable orthogonal transformation X=PX' which will reduce the…

Q: Tis a linear transformation from R² into R² as shown below. The standard matrix for T-l is T'x, у)…

A: According to the given information, Let T be a linear transformation from R2 into R2 as:

Q: ind the spectral radius of the matrix T; of Jacobi method for the following lineer system: 1+3X3=2,…

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Q: 26. If r3 +9x + 5 is divided by x, then remainder is 27. Find the value of x in the equation 2 log3…

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Q: Given a 3x matrix in terms of scalar c and that det (A)=8, find the valuddof G if -1 1c-2 C+7 3. 2.

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Q: There are two functions: fj =0.6+6x1 Cos x2 =0 and f2 =8x; +7Sinx2 +10=0, then for the initial…

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Q: a The matrix U d e must have linearly dependent columns if 0 f = 0 b = c= 0 e = 0 |a = 0

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Q: In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the…

A: Given A=1-11-1

Q: Find the Jacobi matrix for the following function. 5x + 6у f(x, y) = 5x - 4y? Jacobi matrix, (Df)(x,…

A: Given : f1(x, y) = 5x+6y f2(x, y) = 5x²-4y² To find : Determinant of jacobian matrix

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 - 2xy- 2xz -…

A: The objective is to find the symmetric matrix and diagonal form of the quadratic form…

Q: 2 In what direction does f(x) = 7xy - 9x increase most rapidly at (4, - 1)? V f(4, - 1) = (Type an…

A: I am attaching image so that you understand each and every step.

Q: G4 : Find dịagonal matrix A that sotisfies a 16 o

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Q: H.W/(1) Solve the sys. of Linear equations using 1- Grammer's rule. 2- Inverse Matrix Method -x + 2y…

A: Since you have posted multiple questions, I will solve first one for you. If you want solution of…

Q: Find the singular values of the given matrix.

A: Given matrix

Q: Show that ∣A∣ = ∣AT∣ for the matrix below.

A: Now the transpose is,

Q: I find the cooridinate matrix for A realtive to S=SA, Ag „Az, Au? where A= [2 0 and 1 1 00

A: The coordinates matrix for A is [a b c d]=aA1+bA2+cA3+dA4=A .see 2nd step.

Q: Determine which of the following is the Jacobian matrix for the system given by dx 3 = 3x?y³ -xy? –…

A: Jacobian Matrix: Given that,

Q: Consider the system dx(t) (:). et = Ax(t) + dt x(0) If the fundamental matrix of the system is e3t…

A: Given fundamental matrix of the system  φt=e3t0te3te3t So, the complementary solution is…

Q: Compute the matrix exponential e At for the system x' = Ax given below. x²₁ = 20x₁ − 20x₂, x′2 =…

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Q: Consider the following nonhomogeneous linear system: xi = 3x1 + 4x2 + 10 cos t x2 = 3x1 + 2x2 %3D 2.…

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Q: Compute the matrix exponential e^At for the system x′=Ax given below.   x′1=11x1−10x2​, x′2=8x1−7x2…

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Q: y = y ý = Find a base matrix for the system and t=0 Solve with the condition

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Q: Let A be a 6 × 5 matrix. What must a and b be in order to define T : R“ → Rº by T(x) = Ax? Ах?

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Q: The falling parachutist satisfies the following dv dt =g-=v₁ m Where v is the velocity of the…

A: When we have discussion of mathematics and computational science for solving any ordinary…

Q: Solve the equation SP = S to find the stationary matrix S and the limiting matrix ¯¯¯P.

A: P is a regular matrix so there must exist a stationary matrix S such that SP=S  Where, S=a bc The…

Q: Express the quadratic form as v Av, where A is a symmetric matrix. x² + 3y² + 5z² - 4xy+3yz + 10xz

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Q: For a non-singular matrix A, A^(-1) is equal to: (adj(A)) / det(A) det(A) x (adj(A)) det(A) x A

A: Explained below

Q: Let 6 A = E = F = 4 2 Compute the indicated matrix. (If this is not possible, enter DNE in any…

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Q: (2) Find the Hessian matrix Hf(x) of the given function and evaluate it at the indicated point. ㅠㅠ…

A: find the hessian matrix and evaluate at the point (a) fx,y=cosx siny , a=π4,π3

Q: 1. Identify the two-by-two matrix with matrix elements a;j = i – j. O (1 (금) ㅇ(9) (오 ㅇ (? )

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Q: W is a 120 x 60 weight matrix, What are the dimensions of dW? According to the principle of…

A: Given that W is a 120×60 weight matrix. We have to find the dimension of dW Since, we know that…

Q: ()- Write the given linear system in matrix form. Assume X = dx 3 -2х + Зу + е' sin(2t) dt -t dy =…

A: The matrix form of given system is given as follows :

Q: Let A be a 6 x 5 matrix. What must a and b be in order to define T : Rª → R* by T(x) = Ax? II

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Q: Write the linear system in matrix form: dx/dt = -3x + 4y + e* sin(2t) dy/dt = 5x + 9z + 4et cos(2t)…

A: