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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.
some basic vb codes withing excel to get things done quickly.
Denote the subsequent statement in predicate calculus: "Everybody respects all the selfless leaders". Ans: For each X, if every Y that is a person respects X, then X is a selfl
WRITE the condition that should be fulfilled by two matrices A&B to get the product AB and BA
The conjugate of the complex number a + b i is the complex number a - b i . In other terms, it is the original complex number along the sign on the imaginary part changed. Here
Define Points, Lines, and Spaces Points, lines, and planes are known as undefined or primitive terms. These are the most significant and fundamental concepts in the study of geom
A man arranges to pay a debt of Rs.3600 in 40 monthly instalments which are in a AP. When 30 instalments are paid he dies leaving one third of the debt unpaid. Find the value of th
Above we have seen that (2x 2 - x + 3) and (3x 3 + x 2 - 2x - 5) are the factors of 6x 5 - x 4 + 4x 3 - 5x 2 - x - 15. In this case we are able to find one facto
A vessel in shape of a inverted cone is surmounted by a cylinder has a common radius of 7cm this was filled with liquid till it covered one third the height of the cylinder. If the
triangular with base AB = 48cm and height CH=16cm is inscribed a rectangle MNPQ in which MN: MQ = 9:5 Find MN and MQ
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