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<math>a'_{hk}=a'_{kh}=ca_{hk}-sa_{h\ell}</math>
<math>a'_{hk}=a'_{kh}=ca_{hk}-sa_{h\ell}</math>
<math>a'_{h\ell }=a'_{\ell h}=ca_{h\ell }+sa_{hk}</math>
<math>a'_{h\ell }=a'_{\ell h}=ca_{h\ell }+sa_{hk}</math>
<math>a'_{k\ell }=a'_{\ell k}=(c^{2}-s^{2})a_{k\ell }+sc(a_{kk}-a_{\ell \ell })=0</math>
<math>a'_{k\ell }=a'_{\ell k}=(c^{2}-s^{2})a_{k\ell }+sc(a_{kk}-a_{\ell \ell })=0</math>
<math>a'_{kk}=c^{2}a_{kk}+s^{2}a_{\ell \ell }-2sca_{k\ell}</math>
<math>a'_{kk}=c^{2}a_{kk}+s^{2}a_{\ell \ell }-2sca_{k\ell}</math>
<math>a'_{\ell \ell }=s^{2}a_{kk}+c^{2}a_{\ell \ell }+2sca_{k\ell}.</math>
<math>a'_{\ell \ell }=s^{2}a_{kk}+c^{2}a_{\ell \ell }+2sca_{k\ell}.</math>