Given that A is a 3 × 3 matrix with eigen pairs (-9, 3 (12, -2). Find the matrix B = M-¹AM where M = b11 b12 b13 Let B = b21 b22 b23 then b31 b32 b33 b11 = , b13 b21 = b31 || 1,612 , b22 2 " = || = b32 = " -2), (1, = 1, 623 b33 || = 4 -0.[3 4 3 1 3 -2 -2 1 5 || and

Q: Find the eigenvalues of A and B (easy for triangular matrices) and A+ B: A - B [3 ]-[ 1 1 : λι λι ³…

A: If A is any matrix.λ is an Eigen value of A if det(λI -A) =0Where I is identity matrix.  Given,…

Q: Suppose A is a 3 x 3 matrix whose only eigenvalues are 1= -1,0,3, and suppose B is a 4 x 4 matrix…

A: There are 6 subparts, by Bartleby policy I have to solve first 3 subparts. Post separately remaining…

Q: A is an n × n matrix with the property that A^2 = A. (a) If B = In − A, show that B^2 = B. (b) Show…

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Q: Q2\ Find the Eigen values of matrix A? [1 -1 01 A= 0 2 [2 1]

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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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Q: 7.) For matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. Verify that…

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Q: Show that the given matrices are row equivalent and find a sequence of elementary row operations…

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Q: Let A be a diagonalizable 3x3 mat rix with P-AP=-I , where I is the identity mat rix. Which of the…

A: Let A be a diagonalizable 3x3 matrix with P^-1 AP = -I, where I is the identity matrix.

Q: 1 A= -1 3 2 -1 2 ܚ . 1 -2.

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

A: We have to diagnolize the matrix A.

Q: - find the eigenvectors of the diagonal matrix (Â) J where. 2 5 0-12 2 4 10 A = and P=["} 1 2 5 4 O…

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Q: For the following matrix [40 0 0 0 2 0 0 00-1 0 Loo 0 -2. In your answer, use 3 significant digits…

A: Please see the below picture for detailed solution.

Q: Suppose that Q is 3 x 2 matrix with orthonormal columns then Oa Q'Q +1 Ob QQ" - I OcQ" - Q Od. Q"Q-…

A: The detailed solution along with the final answer is described below.

Q: Find the Eigenvalue(s) of the matrix Row 1: (-2,0,0,0) Row 2: (35,6,0,0) Row 3: (?,-12,4,0) Row 4:…

A: (.)  Let the matrix  is ,            A =  -200      03560      0*-124       08*0 -2 where  * are…

Q: The set of eigenvalues of the matrix A=[2 0 -1; 6 8 -5; 9 9 -7]∈ R^3x3is equal to: (a) {1,2}, (b)…

A: Step 1: The provided matrix is:A=⎣⎢⎡​269​089​−1−5−7​⎦⎥⎤​∈R3×3   .........(1)It is needed to…

Q: I want to find the eigenvalues for the matrix   8-x   -6   2 -6   7-x  -4 2     -4     3-x…

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Q: Let -3 v1= -2,03 = be eigenvectors of the matrix A which correspond to the eigenvalues A1 =-4, d2=…

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Q: 3by3 matrix A with eigenvalues lambda1, lambda2 and lambda3. What will be the eigenvalues of inverse…

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Q: A = -3 4 0 -2 30 -8 8 1 B = = [10 1 -1 0 0 1 0 0 b= || 1 0 3

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Q: find eigen Value of matrix 3 니 A= 2 니

A: We have to find the eignvalues for the given matrix.

Q: If A be nxn matrix with eigen value L then find the eigen value of inverse of A .

A: The given matrix A be an n×n matrix with eigenvalue L. Calculate the eigen value of inverse of A.

Q: 35. Give an example of a 4 x 4 matrix A without real eigen- values. ANS: Го -1 07 1 A = 0 0 -1 0 1

A: The answer is given as follows.