Let H denote the quaternions. Find all solutions eH to (1 + i)w = l + j (b) Find all solutions eH to i = i Find all solutions eH to √22 = -1
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We can start by multiplying both sides by the conjugate of (1 + i), which is (1 - i): (1 - i)(1 + i)w = (1 - i)(l + j) (1 - i^2)w = (1 - i)l + (1 - i)j 2w = (1 - i)l + (1 - i)j Now we can use the fact that the quaternion multiplication is distributive, Show more…
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