Is it possible to define two binary operations, ⊕ and ⋆, on the set of real numbers R such that (R, ⊕ , ⋆) is a field (with addition ⊕ and multiplication ⋆) such that the additive identity is 5 and the multiplicative identity is 7? If yes, then define ⊕ and ⋆ accordingly. If no, then explain why not."

Q: Evaluate if x=4,8,3,-2 ∑x ∑x+1 ∑(x+1) 3∑x - 4

A: Given that  if x=4,8,3,-2

Q: Find the inverse of AB if -1 -4 A-¹ = and B-1 = 0 -3 -1 3 -3 3

A:

Q: Could you please help me out with this question?

A: In the ring of integers modulo  n (Z/n), the multiplicative inverse of an integer a  exists if and…

Q: Suppose that 2 1 -3 1 A = 1 -1 В 5 1 1 3 -3 Which of the following operations are defined: (i) CB"…

A:

Q: Construct the multiplication table for the ring Z/6Z.

A:

Q: Multiply 4/3 ∗ 9/12 using any method/representation and explain your reasoning.

A: The given expression is 43×912. Rewrite the expression 43×912: 43×912=43×3334

Q: A ring may have more than one identity element for multiplication? T or F

A:

Q: Define the binary operator @ by: a@b = 36 Simplify each of the following. Do the order of operations…

A:

Q: efine the binary operator @ by:      aa@b=2bb=2b and □□ by:      a□b=a2+b2a□b=a2+b2

A: Introduction: A operation could be an operation f (x, y) that's applied to 2 members of constant set…

Q: Answer the following questions (Q1) (a) If * be a binary operation on Z given by x * y x. Determine…

A:

Q: Suppose that 2 . В — -4 2 -1 -3 A 5 1 1 3 -3 Which of the following operations are defined: (i) CB"…

A: By using matrix order