4 1 The eigenvalues of and are -5 6.

Q: -2 0 -9 Let B = 3 Find all the eigenvalues of B.

A: Calculate the determinant of | B-lamda.i|

Q: [2 0 1 The product of eigenvalues of 4 3 3 0 2 is Select one: О а. -10 O b. -2 O c. 10 O d. 2

A: The product of eigenvalues of a square matrix A is the same as the determinant of matrix A.

Q: 15 4 A=0 3 -4 - List the eigenvalues 00 -2 A from smallest to largest.

A: Form a new matrix by substituting a variable then you will get an equation and then proceed. Here, I…

Q: 11 20 One of the eigenvalues of theſmatrix is A = 9. Find any associated eigenvector. – 16 25

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Q: 1+ 2 an eigenvector of If so, find the eigenvalue.

A: Yes it is an eigen vector.

Q: 4 1 The eigenvalues of -5 are and 2

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Q: 4 4 1 Given A 25 -2 find all eigenvalues of A. 1. 1 2

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Q: -1 Find eigenvalues and corresponding eigenvectors for A = -2 2.

A: To obtain the eigenvalues of the matrix obtain a characteristic equation. The characteristic…

Q: -1 0 If A 3 2 then the eigenvalues of A are 1,4

A: Two methods to find eigen value of A^3 . 1st : Simply find A^3 and find its eigen value. 2nd : If…

Q: 1 2 3 - Suppose that A -4 -3 |. Let B = A2 + -2A. %3D Find the eigenvalues of B. The eigenvalues of…

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Q: 7. Find eigenvalues and eigenvectors of -1 2 0 1 A =

A: step 2 complete solution

Q: 12 8 Find an eigenvector of the matrix -3 corresponding to the eigenvalue A = 5 10 - 6

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Q: -2 2 Determine the eigenvalues and eigenvectors of A = 1 1 -4 8 3

A: The given matrix,A=2-22011-483

Q: An eigenvector of 5 2 corresponding to the eigenvalue A=8 is 36 2 -3 B. 3 -2 C. O D. None of these

A: Let X be Eigen vector corresponding to matrix A and Eigen value c .  Then , AX = cX

Q: -5 2 Find its eigenvalues and eigenvectors. 4 Let A = -7

A: Topic = Matrix

Q: 3. I Find all eigenvalues and eigenvectors of: [100] 4-6 A = 0 0 2 0 2 0

A: We have to find eigen values and vector

Q: 3 6 Suppose that A = Find the eigenvalues of A, i.e. the A which satisfies det|A – AI2| = 0. 1 4…

A: Since, we have been given that matrix A=3614Our aim is to find the eigen values of A, i.e. the λ…

Q: 1 4 - Suppose the matrix, A, has eigenvectors and -8 whose eigenvalues are 4, – 4 and - -6 1 3…

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Q: 7-3 Is =4 an eigenvalue of A = ? Why or why not? 3 Choose the correct answer belou

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Q: 1 are eigenvectors of the matrix and -3 - 2 What is the eigenvalue corresponding to What is the…

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Q: [8 -4 is an eigenvector of 4 -4.5] 2 d) If -4 2 , find the lo -2 -4] eigenvalue corresponding to the…

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Q: 4 – 14 Suppose u Au -2 and A?u 1 -3 Then A has eigenvalues A =

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Q: Q1 (а) State a suitable numerical method that can be used to determine (i) (ii) The largest…

A: We have to mention the numerical method which calculates the smallest and largest eigenvalue of z…

Q: 0 -1 a) Is a = 4 is an eigenvalue of 2 3 1? If so, find corresponding eigenvector. -3 4 5 3.

A: to find the eigenvector corresponding to the eigenvalue=4

Q: 10. Let 5 -6 A = 3 -4 Find the eigenvalues and eigenvectors of A.

A:

Q: [3 2] ? Why or why not? 3 8 2. Is A = 2 an eigenvalue of

A: Given statement  Is 2 is an eigenvalue of the given matrix.

Q: -5 Find its eigenvalues and eigenvectors. 4 Let A = -7

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Q: 1. 3 Find the Eigenvalues of A = 4 a. 2, -2,5 b. -2,-2, -5 -2 -1 -5 -3 -2 -1 c. 2, 2, -5 ur d. 2,…

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

Q: 5.2  8  the real eigenvalues are

A:

Q: -2 12 and are eigenvectors of the matrix 2. What is the eigenvalue corresponding to What is the…

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Q: -5 7 Let A = -7 k For A to have 0 as an eigenvalue, k must be

A:

Q: -2 have real eigenvalues? 3 For what values of a the matriz A %3D

A: This question is based on finding an eigen values .

Q: 2. If -2+ 5i is an eigenvalue of A, list another eigenvalue of A.

A: We know that complex eigen values always occur in conjugate pairs. So, if ( -2+5i) is an eigen value…

Q: -4 -5] Let A = -8 k For A to have 0 as an eigenvalue, k must be

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Q: 11 20 One of the eigenvalues of the matrix is = 9. Find any associated eigenvector. 16 25

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Q: The eigenvalues of A = -25 are: 1 2 01 = 3, 3 O1= - 3, 3 o1 = -2, 2 A = - 3, - 3 %3D

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Q: -4 Find the characteristic equation and eigenvalues of A = 4 2

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Q: 4 1 Let A = then the eigenvalues of A are: 1 4 Select one: а. 5,5 b. 3,-3 с. 5,0 d. 3,5

A: Given matrix:

Q: 2 0 The product of eigenvalues of 4 -3 is 0 2 -1 23

A:

Q: [3 2 Find all the eigenvalues for A = Find one eigenvector corresponding to each eigenvalue 1 4

A: Consider the given matrix as:

Q: [7 1. Is A = -2 an eigenvalue of 3 1] 2. Is 2 an cigenvector of 2 1] 2 0 3 ? 3 1 2 1

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Q: 13 Find the eigenvalue and eigenvectors of A = 5. 4

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Q: [1 Find eigenvalues and corresponding eigenvectors of A. A = 2 -1

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Q: 9 37 Find all eigenvalues and eigenvectors of A = -[-}

A: There is a very standard method of calculating eigenvalues and eigenvectors.

Q: 3. Let 5 12 -6 A = -3 -10 -3 -12 8. Find the eigenvalues and eigenvectors of A.

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Q: 3 (5 p 1 has imaginary complex eigenvalues, just find these Given that the matrix A - 13 - 3…

A: The matrix is A=31-13-3. Find the characteristic equation detA-λI as follows.…

Q: If ^1 = 4 is an eigenvalue for A4× 4 With algebriac multiplicity = 3, and ^2 is another eigenvalue ,…

A: Given; 1. One Eigen value is 4 with algebraic multiplicity 3 and another Eigen value is 2. Then…

Q: 2. Find the eigenvalues and eigenvectors of A = 2 1 0 121 O 1 2

A: Solution :-

Q: 7 0-3 Is =8 an eigenvalue of 4 7 9 ? If so, find one corresponding eigenvector. -3 2

A: