II Which of the following operators are linear? > LU = Ux + xUy > (ii) LU = Ux + U² y

Q: Let 2x 3x + y 8 7 A = and B : 2у — х xy -7 -6 For what values of x and y does A=B?

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Q: Find u+v-2u. U= = (5, 3) and v = (-3,5) u+v-2u=

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Q: GIven u = and v = determine -4u - v

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Q: where is the res

A: We can find rest parts .

Q: How are r and r squared interpreted?

A: The correlation coefficient (r), is used to define the linear relationship between the independent…

Q: If possible, write -3 -z- 2r² as a linear combination of 2 +z + x², 2+ 2x + z and 3+ 3x + 2x2.…

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Q: Simplify the expressim (x5y5)4 2.

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Q: dæ 9 - x2

A: Given data:   The given expression for the integration is:. Assume x=3 sint, differentiate it both…

Q: How did we find that variables x and y are independent?

A: Solution

Q: How to interpret r in relation to the context?

A: In question, We'll discuss about interpretation of r i.e. correlation coefficient.

Q: Differentiate.

A:

Q: Simplify 2 (2-) I 2.y-5.22 2

A: Simplifying the given expression

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.