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Math Help - Finding Inverse of a Quaternion

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    Finding Inverse of a Quaternion

    I want to find the inverse of 2-i-2j+k
    I know we want ab=1
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    Quote Originally Posted by kathrynmath View Post
    I want to find the inverse of 2-i-2j+k
    I know we want ab=1
    Let a = 2 - i - 2j + k. Let b = x + yi + zj + wk. Work out a times b. This gives us the four equations:
    2x + y + 2z - w = 1
    -x + 2y -z - 2w = 0
    -2x + y + 2z + w = 0
    x + 2y - z + 2w = 0

    The determinant of this coefficient matrix is not 0, so an inverse does exist. So solve the system.

    -Dan
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