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Using the details of the matrices in the image, (note that they are real, and that I2 = J2 = K2 = -1 and IJ = K, show that qq* = 1. (the * term means complex conjugate) q = (indentity matrix)q1 +q2 I + q3 J +q4 K and q*= (indentity matrix)q1 - q2 I - q3 J - q4 K

Using the details of the matrices in the image, (note that they are real, and that I2 = J2 = K2 = -1 and IJ = K, show that qq* = 1. (the * term means complex conjugate) q = (indentity matrix)q1 +q2 I + q3 J +q4 K and q*= (indentity matrix)q1 - q2 I - q3 J - q4 K

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Using the details of the matrices in the image, (note that they are real, and that I2 = J2 = K2 = -1 and IJ = K, show that qq* = 1. (the * term means complex conjugate)

q = (indentity matrix)q1 +q2 I + q3 J +q4 K

and

q*= (indentity matrix)q1 - q2 I - q3 J - q4 K

-io? I = 1 K -io? ㅇ
Transcribed Image Text:-io? I = 1 K -io? ㅇ
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