3 -1 c] A=0 2 0| Find c so that the product of the eigenvalues of A is 16. [c -1 3 O A. C =1 O B. C = ±1 OCC=-1 O D.C=0 E. No such c exists.

Q: Find the eigen value andeigen vactor 3 -2 2. 56 -3

A: The given matrix is: A=3-2156210-3

Q: 3-1 c 20 Let B = 0 2 C - 1 3 product of the eigenvalues of B is 16. A. c = ± 1 B. c = 1 C. c = 0…

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Q: and $.f What are the eigenvalues eigenvectors of A = [= 1 ² ] *²² 2 √56 = √√2.2² 53 - b ± √b²2²4₁c…

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Q: 4. Find the rank and three eigenvalues of A and B [1 0 0] A 2 1 0, B = 0 001 0 0 0-1 -1 0 0 -2 1

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Q: Let A = O 2√6 00 O-2 02 Note that the quadratic formula = O -1 2 3 -2√6 Find the sum of all…

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Q: Verify that A; is an eigenvalue of A and that x; is a corresponding eigenvector. =8 °) 21 = 8, x1 =…

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Q: Let A = A₁ -1 0 0 X₂ = 2 1 -3 Determine the eigenvalues A₁ and ₂ of A where A₁ A₂. 22-4 [[

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Q: 3 1 -3 (iv) C= 1 0 0 L-2 1 2. 3.

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Q: c-[and D-191 = C = a) Compute: 3C-5D @ @ (iv) C and D. DC det (C) C-¹ b) Find the eigenvalues and…

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Q: - [:] a b A = o d = 0 and 1, = 1, what are the pos

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Q: Find the eigenvalues and bases for the eigenspaces of A³ for -2 -4 -4 A 2 4 2 -2 -2

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Q: When the eigenvalues of a b A = [86] d are ₁ = 0 and 2 = 4, what are the possible values of a and d?…

A: We have to find correct option by finding possible values of a and d. eigen values of matrix A are…

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: [3 1 -1 2. Let A = 3 -1 Find A100. What are the eigenvalues of A100? Is A100 diagona

A: Solution of the problem as follows

Q: Let A ∈ Mn × n (R) such that A3 = In × n and A≠In × n  What are the eigenvalues of A?

A: We know that if for any An×n matrix ,then it satisfies characteristic polynomial and vice-versa.…

Q: When the eigenvalues of a b *-[88] A = 0 d are ₁ = 0 and ₂ = 2, what are the possible values of a…

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Q: 1 B= 3 -3 1 a. What is the characteristic polynomial of B? b. Does B have any real eigenvalues? c.…

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Q: Suppose A E M,n (R)and B. Find the eigenvalues of B LA A in terms 2A] of the eigenvalues of A.

A: Suppose that the matrix A∈MnR and B=0AA2A. We have to determine the eigenvalues of B. The…

Q: Verify that 2; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = 13, x1 = (1,…

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Q: Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 2 -3 1 = 5, x, =…

A: Given

Q: Verify that λ; is an eigenvalue of A and that x; is a corresponding eigenvector. A₁ = -11, x₁ = (1,…

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Q: (1 0 -1 Q12. Find the Eigen values and Eigen vectors of 1 2 1 and check the possibility 2 2 3 of…

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Q: ind the eigenvalues of A, B. and C: 1 2 3 A =0 4 5 0 0 6 and B =0 2 0 3 00 目 2 2 2 2 2 2 2 2 2 and C…

A: Eigen value of matrix A is 1,4,6. Eigen value of matrix B is 2, -√3, √3.

Q: [ (A)4, - 4 (B) – 3,5 (C) +3i (D) 1± 4i (E) –1+ /5 #8. The eigenvalues of A = 4 5 are

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Q: One of the eigenvalues of the matrix (²-a) C is 2(c + 1), and a corresponding eigenvector is O-1-2c…

A: If λ is the eigen value and v is the eigenvector of the matrix: A, then it can be written that:…

Q: Let A = 2. Find the eigenvalues of A 3.

A: Use eigen value concept

Q: et A = 1 0 0 0 0 N 0 0 5 9 2 11 0 -13 0 0 2 0 -1 7 . Find all the eigenvalues of A5. Justify your…

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Q: 2. Verify that A= 4 is an eigenvalue of [B]= 21-2 3-2 Find the eigenspace corresponding to the…

A: Step 1:Step 2: Step 3: Step 4:

Q: A = -1 -5 k -1 -1 00 0 -1

A: