Drag each of the six matrices to the column above which the polynomial corresponds to itscharacteristic polynomial.2110 0-4 5014 2 2-5 -6 -5758-x³ +5x² - 2x - 896-13 -108694 7-7 16 -24-3 4 0(AD CAD CD5 4 54 -3 89 8-10 -4 -84-8 130 0 -3-r³+3x²+ 13x - 150-³x² + 10x - 8C Reset

Introduction: In linear algebra, a characteristic polynomial of a square matrix is defined as a…

Answered: characteristic polynomial. 2 1 1 9 0 0…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A third degree polynomial passes through the points (0,-3),(1,0),2,9),(3,30), (4, 69) and (5, 132), can be computed from the following table; answer for questions Ay sy 1 12 19 3 27 18 37 4 64 y(3.5) Then 42.875 41.875 43.875 44.875 00 2.
10). The polynomial 2r² + x + 3 in terms of Legendre polynomials is () 을 (4P, 3P, + TIP) (ü)을 (4P2 + 3P, -11P) (iii) – (4P; + 3P, + 1IP) (iv)를 (4P,-3P,-1IP)
15 12- 10 - 9. 8+ 24. 6 18- 4 12 2 -3 1 2 3 4 5 -6 -5 -4 -3 -2 2 3/ -4 -3 12 -1. 2 3 4 -9 -12 -12 -6 - -18 - -15 - -24 - -10 - -30 - A 6. In the above diagrams, the polynomial(s) of even degree is/are: 7. The leading coefficient of the function in A is negative/ positive. 8. In B, root 4 has the order ; in C, root 4 has the order
Question 10 with polynomial long division
65-4 Q4/ A: 1- L-1 52-45+16 B: Fit a second order polynomials to the data in the following: X Y 1 4 3 3 00 8 4 10 52 2-L¹ [: 6 6 13 2S-8 3-2S 952-16 7 10 8 69 9 8+6S 4 S²+9¹ 93 3 10 900 8
15) Find the remainder of the polynomial 5x4 – 3x3 + 9x – 1 when divided by x+ 3
Show work
2. 2 x-81 x²-x-72 ● 4x +32 x+9 multiplying and dividing Polynomials
6. Find the LCM of the polynomials. 2- 8t +15 2-t-20 O A. (t+3)(t – 5)(t – 4) O B. (t-3)(t + 5)(t – 4) Oc. (t-3)(t-5)(t + 4) OD (t+3)(t- 5)(t +4)
EXAMPLE 1 Adding and Subtracting Polynomials Add or suberact as indicated, and simplify. a. (-4w - Sw + Gw + 3) + (Su - 4w + 2) h (6.ldb + 2.9ab – 4.58) - (2.6ab - 4.lab + 2.18) nlution

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characteristic polynomial. 2 1 1 9 0 0 -4 5 0 1 -10 4 7 4 5 -4 -8 -2³ +52²-22-8 4 2 2 -5 -6 -5 5 8 7 -7 16 -24 4 -3 8 4 :) ( -8 13 9 -13 8 -r³+3x²+ 13x - 15 the polynomial corresponds to its 6 -10 6 0 -34 0 8 -89 00-3 + -x³- x² + 10x - 8