2. The eigenvalues of the matrix A = are 5 and -2 (you are not asked to prove this, you can use it without proof). For each real number x, find the rank of the matrix x - 1 -3 xI - A = -4 х — 2

Q: Find the eigenbasis of the matrix and diagonalize it (if possible): [4 P P A =\p 10 1 [P 1 6. P=4…

A: Given: A=4444101416  The matrix A is diagonalized as S-1AS=D. The characteristic polynomial p(t) of…

Q: 2. Assume that all the operations are properly defined, solve the following equation for the unknown…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the 2, 3-cofactor of the matrix 1 2 0 0 2 1 -1 7 -3 0 0 0 7 1 0

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Q: A = -53 -70 35 45

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Q: Find a matrix X that solves the equation 1 2 3 4

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Q: solve the last question from the picture above, #5 eigenvalues ,2,,3,4,5 if the matrix is…

A: for ease of everything I will provide whole answer.

Q: 92 Solve the PE Eup (Initial value 79₁ 1 O O 01 1 problem) its inco)

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Q: Solve for all the eigenvectors.

A: Given matrix is: A=200045043 We have to find all the eigenvectors of A. Let λ be an eigen value of…

Q: Find the matrix exponential of -3x1 + 8x2 x2 = 12x1 – 7x2 and use the matrix exponential to solve…

A: Given that  x1'=-3x1+8x2x2'=12x1-7x2 and the initial conditions are x10=1,x20=-1 The objective is to…

Q: Using your q-1 and p-3, find the eigenvalues of the matrix

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Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: Given A = 1 0 0 -3 1 1 1 - 2 -1 " x = and b = 300 150 400

A: Given that the system Ax=bHere A=1-3101-201-1 , b=300150400

Q: Solve for the matrix X: 35 1 2 *(²2)- ²×(²3)-( :) X = 72 20 The first row of X is given by is X11 =…

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Q: All 2x2 matrix have 2 different eigenvalues True O False

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Q: If the eigenvalues of a 3×3 matrix A is 1, −2 and 20, what are the eigenvalues of A-1?

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Q: 1 if k = i and l = j if k = j and l = i if k = l but k # i, j 1 (Si3)ke = 1 otherwise.

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Q: Express the quadratic equation in the matrix form x Ax + Kx + f = 0, where a Ax is the associated…

A: The given quadratic expression is .We need to convert this quadratic in the form .

Q: Determine whether the eigenvalues of each matrix are distinct real, repeated real, or complex. 11…

A: As per guidlines only first three subquestions are solved, for remaining solution of kindly repost…

Q: Find a matrix X = R2x2 for which −3 X¹⁹ - -24 12² -36).

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Q: se the above equation is expressed as Ax = b with x = uations in one matrix form as (Alb)= -10 -10…

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Q: solve without using matrices wy+xz=1 wz+yx=0

A: In this problem we use elimination method to find y and z.  y=w/(w2 -x2)  z=x/(x2-w2 )