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Consider the following system of linear equations.
X1+x3+x4 = 2
X1+x2+x3 = 6
X2+x3+x4 = 3
X1+x2+x4 = 0
(a) Write out the augmented matrix for this system of linear equations.
(b) Use elementary row operations to reduce the augmented matrix to reduced row- echelon form.
(c) Write out the solution to the system of linear equations.
∫1/sin2x dx = ∫cosec2x dx = 1/2 log[cosec2x - cot2x] + c = 1/2 log[tan x] + c Detailed derivation of ∫cosec x dx = ∫cosec x(cosec x - cot x)/(cosec x - cot x) dx = ∫(cosec 2 x
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Give an example of each of the following given below . You do not require to give any justi cation. (a) A nonempty, bounded subset of Q with no in mum in Q. (b) A subspace of
a
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