Let A be a 3 x 3 diagonalizable matrix with eigenvalues: A, = 6 with %3D corresponding eigenvector v, = = 2 with corresponding eigenvector V2 = 0. and , = 1 with corresponding eigenvector v3 = Then P AP = D with:

Q: Consider a matrix A = a C where a, b, c are real numbers such that abc = 1 and a² + b² + c? = 3. (a)…

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A: Solution:-

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Q: Suppose that a 5 x 5 matrix A has eigenvalues > −3,-, 1,2,4. Compute det(A). ==

A: Suppose that a 5×5 matrix A has eigenvalues λ=-3, 12, 1, 2, 4. To compute detA.

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A: Proceed as shown

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Q: ₁ = [₁] and √₂ = [1] ₁ A is a 2 x 2 matrix with eigenvectors V₁ Find A⁹x. 131075 256 A³x = 131069…

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Q: Let A be a 3 x 3 matrix with the following eigenvalues A1, A2, A3 and corresponding eigenvectors v1,…

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Q: Let A be 2 x 2 matrix with trace(A) = 5 and det(A) = -14. If eigenvalues of this matrix are X₁ and ₂…

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Q: The eigenvalues of a 3x3 matrix A are -4,2,9. Find the determinant of (A-1)T

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Q: Find eigenvector for 2 = 2 and given matrix A. X2= X3= Submit the Answer 2 Question 2 grade: 6. 3 A…

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Q: If A is 3 x 3 matrix with eigenvalues 0, 2, 3. Then: | a. |AA"| = 0 а. O b. |AA"|= 6 %3D c. |AA"| =…

A: See solution below.

Q: Q3: Find the eigenvalues of the Matrix: 2 C = ( -3 1

A: To find the eigen values of the matrix C=-3210 The characteristic equation of the given matrix is…

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A: We have given a matrix A with trace(A)=5 and det(A)=-14, this matrix has two eigen values and we…

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A: Diagonalisable matrix: A n×n matrix A is said to be diagonalisable if there exist a non-singular…

Q: If A has A₁ =3 with eigenvector x₁ = XAX¹ to find A. H] No other matrix has the same A's and x's. A:…

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Q: 1 A = -1 P = Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal. p-1AP…

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Q: I Let A be a 2X2 matrix for which the vectors V, = och Vz = are eigenvecas with respective…

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Q: Suppose that the trace of a 2 x 2 matrix A is tr(A) = -14, and the determinant is det(A) smaller…

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A: For a matrix B ,if λ is an eigen value and  X is the corresponding eigen vector then    BX = λX

Q: Let M be a 3 x3 matrix with eigenvalues ₁ = -2, A2 = 0.25 A3 = 1.6 with corresponding eigenvectors 0…

A: c1=-5, c2=-14,c3=-4Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Let M be a 2 x 2 matrix with eigenvalues ₁ = -0.8, 2 = 1 with corresponding eigenvectors Consider…

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Q: Let A E Rx2 be a matrix with (eigenvalue,eigenvectors) = {(2, V1), (–1, 02)}, where Uj = %3D ,and U2…

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Q: Find a 3 x 3 matrix • The vectors V₁ = satisfying the following properties: • A has two eigenvalues:…

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Q: Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are X₁ = 3, A₂ = −2, and A3 = -1 with…

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Q: Find the 2x2 matrix B given its eigenvalues ₁-1 and 2=3 and the corresponding eigenvectors v₁=(-1,1)…

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Q: Suppose that A is symmetric matrix which has eigenvalues -1, 0 and 1 and corresponding eigenvectors…

A: We have to determine a matrix P which orthogonally diagonalizes A and compute A100.

Q: Q2) for the following Matrix 'A', Please determine the following: A = a. Eigenvalue of A b.…

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