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Let 0 ! V1 ! ! Vk ! 0 be a long exact sequence of vector spaces with linear maps. Show that P (??1)i dim Vi = 0.
find the ratio of 1:4
Consider the following linear equations. x1-3x2+x3+x4-x5=8 -2x1+6x2+x3-2x4-4x5=-1 3x1-9x2+8x3+4x4-13x5=49
approximate value is the precise or the accurate value which is measured to the actual value.., approximation is how close the measured value is to the actual value , for example
find the area of the irregular shape 2cm 4cm 4cm 2cm 5cm 5cm
a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k
Rules of Integration 1. If 'k' is a constant then ∫Kdx = kx + c 2. In
When the son will be as old as the father today their ages will add up to 126 years. When the father was old as the son is today, their ages add upto 38 years. Find their present
A 25 foot ladder just reaches the top of a house and forms an angle of 41.5 degrees with the wall of the house. How tall is the house?
the sides of a right angle triangle are a,a+d,a+2d with a and d both positive.the ratio of a to d a)1:2 b)1:3 c)3:1 d)5:2 answer is (c) i.e. 3:1 Solution: Applying
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