The matrix has eigenvalue > = 3 with an eigenspace of dimension 2. Find a basis for the 3-eigenspace: { (The eigenvalues of A are X 818 = —2, 3, 3.) A = 6 6 -2 -3 37 -3 6 2 1

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

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A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: A = X 1 and B = [X = [11] 0 L1 alue of x that make BxA is Eigen matrix

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Q: A = -53 -70 35 45

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Q: symmetric matrix and A1 and alues of the matrix. The 2 1 gen vector is 2 and 1

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A: We have to diagnolize the matrix A.

Q: Find the eigenvalves and eigenspaces of 2

A: For eigen values- |A-λI|=0 -λ002-λ001-λ =-λ((-λ)2+0)+0=-λ3which implies λ3=0 we have eigen values…

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Q: Give an example of a matrix A with the order 2x2 along with two vectors a and b, with terms a is an…

A: Use simple matrix theory of eigenvalues to come up with this example

Q: Consider the following matrix A - 4-3 -2 Lnd the eigenValues, eigenvectors

A: 1st we will find Characteristic  polynomial  and then find eigen values by equating it with zero .…

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Q: let Ax=b where A is n*n matrix and b = [bi]. find out the number if multiplications additions and…

A: Given: The equation is Ax=b where A is a matrix of order n×n and b=bi. To find: the number of…

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not…

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Q: has eigenvalues A₁ H = 1 and A₂ = 5. The bases of the eigenspaces are v₁ the matrix A= 12 Find an…

A: We have to find the S and D matrix

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Q: 8 A = -2 -2 -6 has one real eigenvalue. Find this eigenvalue and a basis of the eigenspace. The…

A: Given a matrix : A=2080-20-20-6 We need to find the eigenvalue and a basis for the eigenspace. Let's…

Q: The trace and determinant of a 2 x 2 matrix are known to be -2 and -35 respectively. Its eigenvalues

A: solution :given that trace=-2and determinant =-35 of a 2×2 matrix .we know that trace =…

Q: Enter the matrix P: Enter the matrix D:

A: