QUESTION 10 Let A be a diagonalizable 3x3 mat rix with P-AP=-I, where I is the identity mat rix. Which of the following statements is FALSE? O A. A=1 is not an eigenvalue of A O B. A2=A OC.A=-I O p. None of these statements is false. O E. The equation (A+I) x=0 has infinitely many solutions

Q: 1 · [3 2], ¤ - [ -2 -²3], ² - [2 ?]. E Let: D= find: a) the dot product between the eigenvectors of…

A:

Q: If the eigenvalues of A are 1 and 2, then trace(e) is equal to O a. e O b.e Oc.e +e O d. 3

A:

Q: 1. In following show that v is an eigen vector of A and find the corresponding eigen value 1.v = H…

A:

Q: .

A: Consider the given matrix is A, such that,

Q: -2 -4 2 -2 2 4 2 5 1.

A:

Q: Find all values of the angle 0 (in radians, with 0 < 0 < 2n) for which the matrix cos e -sin e sin e…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: 15. Let T: P2 → P2 be defined by T(a, + a,x + a,x²) = (5a, + 6a, + 2a2) %3D - (a, + 8a,)x + (a, –…

A: Disclaimer: Since you have asked for hand written solution and we are currently not providing hand…

Q: Question 12 -9 The eigenvalues of 1 are and

A:

Q: 8. Consider a 3x3 matrix A with eigenvalues hs, hz and ks. What will be the eigenvalues of A *? C.…

A:

Q: 4. In each part below, A is a 2 x 2 matrix of real numbers (and I is the 2 x 2 identity). (a)…

A: (a).   A2-5A+6I = 0                 A2-3A-2A+ 6I=0 A(A-3I) -2(A-3I)=0 (A-2I) (A-3I) =0 either…

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

A:

Q: 2. Show how to find the characteristic polynomial det (A-XI) and how to use it to find the…

A: A=1331

Q: Question 12 -9 6. The eigenvalues of 1 | are and

A:

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

A:

Q: a. C. 2 1²2 [132] 0 b. 2 d. -2-1

A:

Q: cos ( sin 0 - sin Ꮎ :) Cos

A:

Q: cos e - sin 0 cos O A = sin 0

A:

Q: 4. Find the eigenvalues and eigenvectors of A and A³, A-¹ and A - 21: [ A = 1 4 3 3

A:

Q: For each of the following sequences, if the divergence test applies, either state that lim an does…

A:

Q: For 6-9, let A=0 I Answer for #8&9 6.) Find the characters polynomial A [10 – a -9 41= (10 – a) x (2…

A:

Q: Suppose that 0.3210 approximates 0.3245. How many significant digits does the approximate have? O 3…

A:

Q: 1 -3 5 Consider A : 3 a Find A? and A-1. b Find the eigenvalues of A, A², and A-1.

A: Given matrix is  A=1-3-53 This matrix is order of 2×2. (A) Find A2 and A-1   Find A2=AA The…

Q: Question 1. Let 1 2 -1 1 -1 -1 A = 1 -1 1 -1 1 Find all complex eigenvalues of A and find a basis…

A: Given matrix is  A=12-1001-1-112-101-101                  (i) To find the eigenvalues of A, let us…

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…

A:

Q: 5. Which of the following are the eigenvalues of 2 1 ? -1 2 O 1+ 2i O 1±v2i O 2+i O v2 ti

A: