if A= 3+3i and A = 3- 31 are two eigenvalues of 2*2 matrix A then the determinant of A equal %3D Select one: a. 9 b. 3 O c. 18 d. 14

Q: The eigenvalues for the matrix A are 4-31 A = [12/2 us (4- 2x + y) dy dx =. Find ض

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Q: What is eigenvalues and eigenvectors for the following system of ODES? x' = 5x1 +3x2 x'2 = -x + x2…

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Q: Suppose that a 4 x 4 matrix A has eigenvalues A₁ = 1, A2=-7, A3-9, and A4-9. Use the following…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Let the trace and determinant of a 2 x 2 square matrix A be Tr (A) = -1 and det (A) = -2 respec-…

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Q: if A1= 3+3i and X2= 3- 3i are two eigenvalues of 2*2 matrix A then the determinant of A equal Select…

A: Since, product of eigenvalues is equal to determinant So

Q: For which value of k does the matrix -7 k A = 9 7 have one real eigenvalue of multiplicity 2? k ||…

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Q: If A is a 4 x 4 matrix such that 3 is the only eigenvalue of A, then the characteristic polynomial…

A: Eigen values are the roots of the characteristics equation. If n×n is the matrix than there are n…

Q: Let A be a 2 x 2 matrix with trace T and determinant D. Under what condition on T and D will the…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: If 1 4 and v2 are eigenvectors of a matrix A corresponding to the eigenvalues A1 -4 and X2 = 1,…

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Q: A matrix A has the following eigenpairs. Complete the eigenpairs. (1- D ",") (1-- 6 – 4i Ex: 3 + 7i…

A: Given, a matrix has the following eigenpairs. We have to complete the eigenpairs.…

Q: Given the following matrix 4 4 -3 Find its two eigenvectors. and H2 A and H2 B) H, = 9 4 and 2 4 4…

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Q: If 2-/3i is a complex eigenvalue of the matrix 2 1 then the corresponding eigenvector is -3 2 O A.…

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Q: Suppose that the matrix A has the following eigenvalues and eigenvectors: A = 2+ 3i with ở = -5+ and…

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Q: Suppose that the trace of a 2 x 2 matrix A is tr(A) = -4 and the determinant is det(A) = -32. Find…

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Q: Let be one of the eigenvector of the matrix A .Then which of the following is a 2 the product of the…

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Q: The 3 x 3 matrix B is known to to have eigenvalues 0, 1, and 2. Is this information enough to…

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Q: Suppose that a 4 x 4 matrix A has eigenvalues g = 1, 12 = - 2, 13 = 3, and A4 = - 3. Use the…

A: Properties based on eigen values: Product of eigen values is equal to determinant of corresponding…

Q: if dz = 3+3i and 2= 3- 3i are two eigenvalues of 2*2 matrix A then the determinant of A equal %3D…

A: Given A is square matrix of order   2×2 with eigenvalues are λ1=3+3iλ2=3-3i

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: The 3 x 3 matrix A has eigenvalues a, 2 and 2a. Find the values of a, ß and 0 for which 4A-¹ = A² +…

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Q: Find the value of k so that 4 is an eigenvalue of the matrix A - If your answer is a fraction, enter…

A: Solutions

Q: if A1 = 3+3i and A2= 3- 3i are two eigenvalues of 2 2 matrix A then the determinant of A equal…

A: Concept: Let A is a matrix of order 2×2 having Eugene values are p and q then,  Determinant of A =…

Q: q1

A: We have to find out Eigen values

Q: if A1= 3+3i and A2 = 3- 3i are two eigenvalues of 2*2 matrix A then the determinant of A equal…

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Q: Let 1 be the eigenvector corresponding to the largest eigenvalue of the matrix 1 10 x A =| 0 2 1 0 1…

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Q: 4. Find all eigenvectors of the matrix A = 1 %3D 1 (a) (b) (c) 6. 1 3 (d) (e) 1 1

A: Given :- to find Eigen vectors of the matrix A = 1411 To find Eigen vectors first we need to find…

Q: For which value of k does the matrix -3 k A 4 4 have one real eigenvalue of multiplicity 2? k =

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Q: The matrix has three distinct real eigenvalues if and only if 0 <k < 427 1 1 07 A 0 1 1 k 0 0

A: Given matrix A=110011k00 The matrix has 3 distinct real eigen values. We already have characteristic…

Q: A matrix A has the following eigenpairs. Complete the eigenpairs. 5 – 7i Ex: 3+ 7i d = Ex: 3+ 7i X =…

A: See the attachment

Q: For which value of k does the matrix A=[2   k]     [−4 5]   have one real eigenvalue of…

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Q: If v = and v2 = 3 are eigenvectors of a matrix A corresponding to the eigenvalues A1 = -5 and A, =…

A: Explanation of the answer is as follows

Q: For a given matrix 2 -2 3 A = |-2 -1 6 %3D 1 2 0 one of the eigenvalues is 3. The other two…

A: Introduction :We have given a matrix , and one eigen value .we have asked to find other two eigen…

Q: ) Suppose that the matrix A has the following eigenvalues and eigenvectors: 1= -1+ 5i with v 5 %3D…

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Q: if λ1= 3+3i and λ2= 3- 3i are two eigenvalues of 2*2 matrix A then the determinant of A equal Select…

A: Determinant of a matrix A is the product of eigen values of A Given eigen values are : λ1=3+3i,…

Q: If A is a 3x3 matrix with eigenvalues 1 and​ 2, which option is impossible for diagonal matrix​…

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Q: nd the matrix A that has the given eigenvalues and corresponding eiger 24 = 1= {},2 = 3= {} 11 -4 14…

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Q: Given the following matrix 4 5 -2 6 Find its two eigenvectors. A and 2- 2 and A, B A, R 5 and H2 D)…

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Q: Given the following matrix: -1 -GD -1 0 4 3 A = 2 1 -1 Complete the following: d) is the matrix A…

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Q: Let the trace and determinant of a 2 x 2 square matrix A be Tr (A) = 5 and det (A) = 6 respectively.…

A: We have to find the Eigen values.

Q: if 21 = 3+3i and 22= 3- 3i are two eigenvalues %3D of 2*2 matrix A then the determinant of A equal…

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Q: if A=3+31 and A= 3- 3i are two eigenvalues of 2*2 matrix A then the determinant of A equal Select…

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Q: The matrix -2 1 0 A = 7 4 1 k 0 0 has three distinct real eigenvalues if and only if |<k<

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Q: Given the matrix 1 2 - 1 Find the Characteristic Equation and find its solutions (aka: eigenvalues).…

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Q: If 2-3i is a complex eigenvalue of the matrix then the corresponding eigenvector is 3 2 O A. O B. 3i…

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Q: If A and B are two row equivalent matrices, do they necessarily have the same eigenvalues? Either…

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Q: *Given matrices of A = and calculate: B = a) Size of matrix A & B b) AT = c) AxB = d) det A = %3D e)…

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Q: Solve the following matrix system by using variation of parameters: dx *- ( )) 1 x + 5e-t %3D dt 4…

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Q: if A1 = 3+3i and A2 = 3- 3i are two eigenvalues of 2*2 matrix A then the determinant of A equal…

A: The solution is given as

Q: if A, = 3+3i and X= 3- 3i are two eigenvalues of 2*2 matrix A then the determinant of A equal Select…

A: We have to find determinant

Q: The matrix. -3 -2 A 2 1 has an eigenvalue A of multiplicity 2 with corresponding eigenvector v. Find…

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