(5) Let V=R2. For (1, 1), (2, 32) EV and c ER, define addition and scalar multiplication operations by (T1, y₁) (2, 2) = (1 + 2x2, y₁ + 3y2), (0,0) if c = 0, (cr₁, ) if c# 0. Is (V,0,0) a vector space over R? If No, please mention each axiom which is not satisfied by these operations. co (1.1):

Q: Please show me the steps to solve this question. It is a part of vector calculus.

A: Value of the integral is 9/16Explanation:

Q: Let V = R². For (u₁, U2), (v1, v2₂) € V and a € R define vector addition by (U1, U2) = (v1, v2) :=…

A:

Q: What is the dimension of the vector space M,x3R)?

A: SOLUTION-

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Q: Do question two only

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A: Given Let Plugging the values in the equation:

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A:

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A: given u has initial point P at (0,0) and terminal point Q at (9,-4)

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Q: 6. Let V be the vector space of all diagonal 5 x 5 matrices, then dim(V)=--

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Q: Do question 10 only

A:

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A: This is a problem of vector calculus.

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A:

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A: