short answers to nose ane the general strategies to conveit dtifficut problems t
ID: 3603418 • Letter: S
Question
short answers to nose ane the general strategies to conveit dtifficut problems to easser ones? (Cst at 2. If a matrix A is nonsinguilar, what propertes does A have? (give at least one property) 3. What is Normal Equation? (give the formula 4. How many solutions can a non-linear system have? What about a linear system? 5. What is an overdetermined system Il True or false 1. Computational error is the sum of tuncation error and rounding error 2.Given a matrix its norm satisfies IA+B1214+ . 3.exp(x) + 1 = 0 has one solution. 4. Problem is sensitive, or ill conditioned, if relative change in solution is much larger than that in input. 5. If matrix P is a permutation matrix, then P Pl 2 3Explanation / Answer
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1. computational error is a sum of Truncation error and rounding error --> True
2. given a matrix A, its norm satifies |A+B|>=|A|+|B| --> False
3. exp(x)+1=0 has one solution --> False
4.Problem is sensitive or ill conditioned, if relative change in solution is much larger than that in input --> True
5.If matrix P is permutation matrix then p^-1 p^T=I
Ans --> p^T = p^-1
PP^T = I
so the statement is false
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