Linear algebra: can anyone here please solve q8 and 10 correctly and handwritten The following list of matrices and their respective char-acteristic polynomials is referred to in Exercises 1-11.- 1[32]p(t)= (t - 3)(t - 1),A =-6-1 23 2 0-14 -2 5p(t) = -(t − 1)²(t+ 1),C =E =644 146144 1641446p(t) =(t+1)(t + 5)²(t — 15),FD =B =1 3p(t) = (t - 2)²,5. C, λ = -18. E, λ = 511. F, λ = 2-7 4-38 -3 332-16 13p(t) = −(t − 1)³,1-1-1 -1-1 −1-1 −11 −1−1 −1 −1 1p(t) = (t + 2)(t – 2)³In Exercises 1-11, find a basis for the eigenspace Exfor the given matrix and the value of λ. Determine thealgebraic and geometric multiplicities of λ.2. A, λ = 13. B, λ =21. A, λ = 34. C, λ = 17. E, λ = -110. F, λ = -26. D, λ = 19. E, λ = 15

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acteristic polynomials is referred to in Exercises -11 p(t) = (t - A = ^-[-3-2]. -1 p(t) = (t - 3)(t - 1), -6-1 2 3 2 0 -14 -2 5 p(t) = -(t − 1)²(t + 1), C: E = 6441 4614 4164 1 446 p(t) = (t+1)(t +5)²(t-15), D B = F = -7 4 - -[ 8-3 32-16 1 p(t) = -(t- 1 −1 −1 -1 -1 -1 1 – -1 -1 -1 p(t) = (t +2) (t - In Exercises 1-11, find a basis for the eigenspace for the given matrix and the value of 2. Determine algebraic and geometric multiplicities of λ. 1. A, λ = 3 2. A, λ = 1 3. B, λ = 2 4. C, λ = 1 5. C, λ =-1 6. D, λ = 1

acteristic polynomials is referred to in Exercises -11 p(t) = (t - A = ^-[-3-2]. -1 p(t) = (t - 3)(t - 1), -6-1 2 3 2 0 -14 -2 5 p(t) = -(t − 1)²(t + 1), C: E = 6441 4614 4164 1 446 p(t) = (t+1)(t +5)²(t-15), D B = F = -7 4 - -[ 8-3 32-16 1 p(t) = -(t- 1 −1 −1 -1 -1 -1 1 – -1 -1 -1 p(t) = (t +2) (t - In Exercises 1-11, find a basis for the eigenspace for the given matrix and the value of 2. Determine algebraic and geometric multiplicities of λ. 1. A, λ = 3 2. A, λ = 1 3. B, λ = 2 4. C, λ = 1 5. C, λ =-1 6. D, λ = 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 41E

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