5 Find x and y such that is perpendicular to both (-₁) and (-1).
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- Describe all vectors in span{(3,0,2), (-2,0,3)} (so computationally what do the vectors look like?). Also give a geometric description for these vectors (what space are you in and visually what do you get? Be as descriptive as you can!).Show that exp(-i0X/2) where X is the Pauli X-matrix. - (2) 1-i sin (2) x I X, = COS5. show a specific vector (eigenvector) of the y-axis spin matrix. sy = 1/2 (15)