Consider the following matrices: √/3 Q 8 M' = – 0510100 10+ 9 (a) Find the component q in the coordinate transformation matrix Q such that the matrix is orthogonal and associated with rotation. q= = (b) Let Q transform the orthonormal basis set B to B'. Determine the components of matrix M' in the new orthonormal basis set B'. (c) Calculate the three invariants of M. I₁ I₂ = M = (d) Calculate the three invariants of M'. K I! = [2 −1 6 7 -5 6 1 -1 4 I3 = =

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