Q1) Let A = 9 3-31 35 1 1-3 1 10 a) Can you perform Cholesky decomposition? If yes, explain and by hand find a lower triangular matrix L, and verify your result such that A = LL b) Find the diagonal matrix D such that A = matrix. c) Find the flops count of part a) RTDR where R is a unit upper triangular

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A: More explain

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: (a)(b)

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A: a)b)c)d)e)f)

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Q: 5 Obtain by multiplying matrices the composite coordinate transformation of two transformations,…

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A: i.  f:Z→Z defined by f(z)=3z+1 Injective: A function is injective if f(a) = f(b) implies a = b.…

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Q: 44 4. Write the function f(x)=2+ ANALYTIC FUNCTIONS 1 (z = 0) Z. in the form f(z) = u(r, 0) + iv(r,…

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Q: 10

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A: Step 1: Given Expression Given limit:   limx→0​x31​∫0x​t4+4ln(1+t)​dt This means we need to analyze…

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A: Step 1:Step 2:Step 3:Step 4:

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A: The given differential equation is: y′′+4y′+13y=δ(t−1) To solve this using the variation of…

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A: To prove the given statements about the dual operators  S∗  and  T∗ , we will use the definition of…

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A: To prove that (a+b)n=∑r=0n​(rn​)an−rbr , we will use the Binomial Theorem. Here's the proof:Binomial…

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A: If you have any help please let me know in comment box thankyou.

Q: COMPLETE THREE-VIEW ORTHOGRAPHIC SKETCHES OF THE FOLLOWING OBJECTS USE ORTHO GRID PAPER. Drawn By:

A: Approach to solving the question: Detailed explanation: Examples: Key references:

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Q: x+10+2 = 6 x =?

A: We have given, x+10​+2=6 Subtract 2 from both sides, x+10​+2−2=6−2 x+10​=4 Taking square both sides,…

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