-4 2 Given: A = 2 -7 4 has eigenvalues -3 and – 12. [-2 4 -7 a) Explain why we know that A is orthogonally diagonalisable. b) Find an orthogonal matrix P and a diagonal matrix D such that D = P" AP. Show all calculations.

Q: a a-b %3D SX

A: Follow step 2nd.

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A: Given,           abc

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Q: 6. 11 ZB = ZB = CB =

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Q: %3D

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Q: -7.4v+2.4(-7.1v+-10)+6.7

A: simplified value is -24.44 v - 17.3

Q: b 1. D = c d

A: Determinant of a matrix is a number that is a function of the entries of the matrix. Determinant is…

Q: E1 Q21

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Q: -5 w2 In(w) dw

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Q: r A D C

A: We have given a diagram;

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A: To find percentage of pails with volumes between 1.05 gallons and 1.15 gallons

Q: -9 81 -2 9 8 7 6 Which best represents the equation of the graphed conic section?

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Q: 2. In the figure above, m || n and y 5x. What is the value of y ?

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Q: 2. 2. 2. t.

A: Solution: The given equation is 2∂2u∂x2=∂2u∂t2+2x Rewrite it ∂2u∂t2-22∂2u∂x2=2x Conditions ux0,t=et…

Q: 11

A: To find value of v 5370=1700v2

Q: B and C

A: Given

Q: 8. Which graph has three real zeros, one of which is -2? 9. Which graph has two real zeros, both of…

A: Graph of the function is given, we have to find the following graphs.

Q: Cahcuha le O+20 A

A: Given CO is perpendicular to AO Therefoe ∠COA = 90°  ∠COB = 4θ-30°   and  ∠BOA = θ+20° Also here…

Q: 7 pies 6 pies 4 pies O A. 17 pies3 B. 42 pies3 C. 168 pies D. 188 pies

A: The formula of  volume of a cuboid is…

Q: 3. 2 2 .b O 3 4 3.

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Q: Evaluate the expression using the given figure to obtain either a or B. 35 -1 (a) tan 12 12 (b) sin…

A: tan-13512

Q: 0.3)1536.

A: 0.31536 Note: Multiple questions are given, we are answered with first question only.

Q: xy o y?.

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Q: finf the

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Q: 6（c)(d)

A: We shall use the properties of homomorphism to solve this question

Q: asked for answers for D,E , F

A: Let us first find the singular values.