10. If Ly, = % and Lva are Lorentz matrices, show that the product Lv, Lu, is a Lorentz matrix Ly, where vị + v2 V3 1+ v1v2 (hint: Why does this product have determinant 1? Use Lv, Lvz = [að + ße ae+ B8 | ae + B8 að + ße to compute v3. Dividing the top and bottom of '€+ Bd by að will help.)
10. If Ly, = % and Lva are Lorentz matrices, show that the product Lv, Lu, is a Lorentz matrix Ly, where vị + v2 V3 1+ v1v2 (hint: Why does this product have determinant 1? Use Lv, Lvz = [að + ße ae+ B8 | ae + B8 að + ße to compute v3. Dividing the top and bottom of '€+ Bd by að will help.)
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