In middle school, the learning of many specific sets (such as real number set, complex number set and plane vector set) is often based on defining operations (such as four operations) Let a be composed of all binary ordered real arrays, and define an operation on a, denoted as ⊙. For any two elements in a, α = (a, b), β = (C, d), α ⊙ β = (AD + BC, BD AC) (3) If "the element I in a = (x, y)" is a necessary and sufficient condition that "for ᚜ 8704; α∈ a, α᚜ I = I ᚜ α = α holds", try to find out the element I The answer to question 3 is: (3) let the element I in a = (x, y) For ᚜ 8704; α∈ a, α᚜ I = I ᚜ α = α holds, Only I ⊙ a = a, that is, (x, y) ⊙ (a, b) = (a, b) & # 8660; (BX + ay, by ax) = (a, b) ① If a = (0,0), obviously I ⊙ α = α holds, ② If a ≠ (0,0), then bx+ay=a-ax+by=b The solution is obtained x=0y=1 , When α ⊙ I = I ⊙ α = α holds for ∀ α ∈ a, I = (0,0) or I = (0,1), It is easy to verify that when I = (0,0) or I = (0,1), there is a pair ᚜ I = I ᚜ α = α when α ∈ a I = (0,0) or I = (0,1) Why discuss the case of a = (0,0), and isn't l = (0,0) unsatisfied?

In middle school, the learning of many specific sets (such as real number set, complex number set and plane vector set) is often based on defining operations (such as four operations) Let a be composed of all binary ordered real arrays, and define an operation on a, denoted as ⊙. For any two elements in a, α = (a, b), β = (C, d), α ⊙ β = (AD + BC, BD AC) (3) If "the element I in a = (x, y)" is a necessary and sufficient condition that "for ᚜ 8704; α∈ a, α᚜ I = I ᚜ α = α holds", try to find out the element I The answer to question 3 is: (3) let the element I in a = (x, y) For ᚜ 8704; α∈ a, α᚜ I = I ᚜ α = α holds, Only I ⊙ a = a, that is, (x, y) ⊙ (a, b) = (a, b) & # 8660; (BX + ay, by ax) = (a, b) ① If a = (0,0), obviously I ⊙ α = α holds, ② If a ≠ (0,0), then bx+ay=a-ax+by=b The solution is obtained x=0y=1 , When α ⊙ I = I ⊙ α = α holds for ∀ α ∈ a, I = (0,0) or I = (0,1), It is easy to verify that when I = (0,0) or I = (0,1), there is a pair ᚜ I = I ᚜ α = α when α ∈ a I = (0,0) or I = (0,1) Why discuss the case of a = (0,0), and isn't l = (0,0) unsatisfied?

I = (0,0) is not right

What do you mean by the singular and plural of tactic? In general, tactic or tactics

When it comes to tactics, it is usually plural

What is the value of complex number (1 + 2I) ^ 2 / (3-4i)?

(1+4i-4)/(3-4i)
=(4i-3)/(3-4i)
=-1

Solving equation (1 + I) x = 3-2i in complex set

1. Let x = a + bi, then (1 + I) (a + bi) = 3-2i, (a-b) + (a + b) I = 3-2i, then A-B = 3 and a + B = - 2, the solution is a = 1 / 2, B = - 5 / 2, then x = (1 / 2) - (5 / 2) I; 2, x = (3-2i) / [(1 + I) (1-I)] x = (1-5i) / 2x = (1 / 2) - (5 / 2) I