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) – (-9) x 4 2- = 20 – 102 – 22 +2² – (-36) = 20 – 121 + a² + 36 = 22 – 121 + 20 + 36 = 22 – 122 + 56 7.) Find the eigenvalues of A 2 = 6 – 2/5ī and 6 + 2/5i 8.) Find eigenvectors corresponding to the eigenvalues of A 9.) Find bases for the eigenspace of A

Q: -2 -1 2 y 55 15 1 3.

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Q: B = [3 {[9][9]} 02 4 0 56

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Q: For the characteristic polynomial of Matrix A, p(x) = x³ - 2x² + x + 5, where xis the Eigen value of…

A: Given that, The characteristic polynomial of a matrix A is:px=x3-2x2+x+5, where x is the eigenvalue…

Q: 4. The polynomial equation whose roots are {-1, - ½ and 3} is А. 2х3- Зx2 - 8х-3%3D0 В. х3 - 6х2 - х…

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Q: Please answer this linear algebra question and show all steps.

A: The final answer given below:Explanation:

Q: (b) Let L: M2x2 → M2x2 such that L(A) = At. Find the matrix repre- sentation of L from [L]s,s=

A: Given Given  such that .Find the matrix representation of L from S.

Q: Answer all the questions: (2 1 1 1. The characteristic polynomial of the matrix 0 1 0) is A1 1 2. a)…

A: Here the given matrix is                                        211010112 We have to find the…

Q: Let a and b be real numbers satisfying a² - a -1 = 0 and 6² - 36 - 2 = 0, and let V = 1 a b ab (a)…

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Q: Зх — Зу — 6z %3D —3 2х — 2у — 4z %3D 10 2х + Зу + z %3D7 -

A: Given system of equations, 3 x-3 y-6 z=-32 x-2 y-4 z=102 x+3 y+z=7 The objective is to solve the…

Q: Write the following complex polynomials in factored form. You may check your final answer using…

A: Given term is: h(z)=z4+25i

Q: Which of the following matrices have characterestic polynomial p(A) = x2 - 10A +1 Select one: a. b.…

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Q: Use the given LU factorization to find all solutions to Ax = b 1 0 0 0] [50 -31 1 0 0 0-8 6 9 1 0 0…

A: We have given:To find all solutions to  using the given LU factorization, we can proceed as…

Q: Let C be a 6x6 matrix with. real eigenvalues -1, 2,4 and no complexores. Write the characterstic…

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Q: Find the characterstic polynomial of A Using your answer to part (a), check that X₁ A. What are…

A: Please note that as per bartleby guidelines, I can answer only one question.

Q: Do NOT row reduce! (a) Write the augmented matrix whose row reduction would find [x]B . (b) Write…

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Q: (a) Let 2 -27 -1 14 -9 4 3 -2 1 Decide whether A is invertible, and find its inverse if so. A =

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Q: 1. Determine the real zero, and a complex conjugate pair of zeros for the equation below. 5x* – 16x³…

A: Given:      5x4 -16 x3 + 57 x2 + 120 x + 120

Q: a) [5] Evaluate (2 - 3)² + 6 × (4 + 1) + 3² . B1: b) [5] Determine the polynomial with the…

A: Explanation of the answer is as follows

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Q: Consider the quadratic polynomial q(x) = 2x + 8x1x2 – 8x – 3x1 – 3x2 + 3. - - Find the symmetric…

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Q: The solutions of a polynomial equation are shown below. x=3+4i x=5

A: Given Roots x=3+4i,5Since 3+4i is root⇒3-4i will also be a root

Q: Use Gram-Schmidt to find q₁, q2, q3 (orthonormal) as combinations of a, b, c (independent columns).…

A: To find orthogonal vector q1, q2,q3, using the gram-schmidt process for the column a,b,c of matrix A…

Q: А = 1 1 1 3 4 -3 - 1 0 2 B || 8 -2 1 -3 1 0 - 4 1 1

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Q: 1 a 0 b 1 -1) 31 For which values of a and b is-2 invertible? Why?

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Q: Consider the bases B1 = {(1,2), (- 3,0)} and B2 = {(3,2), (- 1, –2)} of R. The input to "(2.1)' of…

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Q: 4. x* - 8 + 16 = O 5. x* - 33 + x + 3x-2=0 6. x*- 3x - 15x+ 19x + 30 = 0 7.x-20-13x2 + 38x - 24 = 0

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Q: Question 6 * 9. Factor the following polynomial expression: 2x + 3x2 + 4x- 3. F (2x + 1)(x² + 2x +…

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