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Don't count the number of divisions. Do not use asymptotic notation, instead provide exact answers.
(i) What is the maximum number of multiplications required to solve a system of n equations with n unknowns using Gaussian Elimination
(ii) What is the maximum number of multiplications required to obtain the determinant of ann by n matrix by L.U. Decomposition using Gaussian Elimination.
(iii) What is the maximum number of multiplications required to invert an n by n matrix usingGaussian Elimination.
(iv) For what range of values of w is the Gaussian-Siedel method stable when solving this systemof equations:
3x - y + wz= 3
x + 3y -z = 4
x + y -2z = 1
Find the sum og series 1+(1+3)+(1+3+5)+.......+(1+3+...+15+17)=
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Calculus Calculus is a branch of mathematics which describes how one variable changes in relationship to another variable. It enables us to determine the rate of change of one
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Give an example of Divisibility? If you can divide one number by another without getting a remainder, we say that the first number is divisible by the second. For instance, the
Solve 4 sin 2 ( t ) - 3 sin ( t /3)= 1 . Solution Before solving this equation let's solve clearly unrelated equation. 4x 2 - 3x = 1 ⇒ 4x 2 - 3x -1 = ( 4x + 1) ( x
A bag of 28 tulip bulbs contains 12 red tulip bulbs, 9 yellow tulip bulbs, and 7 purple tulip bulbs. Two bulbs are selected without replacement. Determine, a) The probability th
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