判断矩阵是否为正交矩阵：[tex=7.071x2.786]K2vMsZ5TBuB8kq2pfBmYYKVkmquaUrewT+lOnPXmGAzTGFUVbk04hQ6Qqw98wqOzRuriOzwpcSYdhWqsie0cSQ==[/tex]，其中[tex=4.0x1.286]rPFZG/CenO/cKqeYFxMzSA==[/tex]，[tex=4.786x1.286]tPjXxzgONS63BQnlqH1OMG88XRRryzx9+WPIGFB+heA=[/tex] .
举一反三
- 设[tex=0.786x1.286]TKU5UzNEMzEJwORo6mbEYA==[/tex]是[tex=0.643x0.786]FU7w6l1IEII0B13k5eE1RA==[/tex]阶可逆矩阵，[tex=1.0x1.0]1FxgYWJ8+K7k+WveMA+HgE0t3in4r5SVXKzEh99S2mk=[/tex]是[tex=2.286x1.286]I06yRpy8ahH/21Lu+I9pOg==[/tex]矩阵，且[tex=10.786x3.5]1FxgYWJ8+K7k+WveMA+HgMuwybondqV5sCRcDKdvNGd4tzO40WnQ86qvzRRIgKmwBsGp4TjN+5on06AxlPlmlwyGo+hhA6UMO89pNpku8hOWBlf5AvSKx2y6QyNKjCOm7KDS3d0OrFQV83syEQKRJb5dmURShTOQ8UqPf7olHHI=[/tex]，试用分块矩阵的乘法，求一个[tex=4.786x1.286]9GGFGpGcUFxzBsQ2lmZR+73/PcMmakj821OLQd42yb4=[/tex]矩阵[tex=0.929x1.0]r5Haq7W1lVGBc4dFEM2Zk1042rAqwO2NsSIOA9UOXzQ=[/tex]，使得[tex=7.071x2.786]r5Haq7W1lVGBc4dFEM2Zk88512tcDydigD0n9GG/Ty5rukg19ulyW+5+4RYsQ1zw3tmgGIx/Y4JzCB7vgKNPAggHO6sQhtSgoej7t+XnzTP7exhoHd/78sEX2t8P3GZ+oiUczkOkj2x9kJDkYYOnRA==[/tex]。
- 设[tex=0.786x1.286]TKU5UzNEMzEJwORo6mbEYA==[/tex]是[tex=0.643x0.786]FU7w6l1IEII0B13k5eE1RA==[/tex]阶可逆矩阵，[tex=1.0x1.0]1FxgYWJ8+K7k+WveMA+HgE0t3in4r5SVXKzEh99S2mk=[/tex]是[tex=2.286x1.286]I06yRpy8ahH/21Lu+I9pOg==[/tex]矩阵，且[tex=10.786x3.5]1FxgYWJ8+K7k+WveMA+HgMuwybondqV5sCRcDKdvNGd4tzO40WnQ86qvzRRIgKmwBsGp4TjN+5on06AxlPlmlwyGo+hhA6UMO89pNpku8hOWBlf5AvSKx2y6QyNKjCOm7KDS3d0OrFQV83syEQKRJb5dmURShTOQ8UqPf7olHHI=[/tex]，试用分块矩阵的乘法，求一个[tex=4.786x1.286]9GGFGpGcUFxzBsQ2lmZR+73/PcMmakj821OLQd42yb4=[/tex]矩阵[tex=0.929x1.0]r5Haq7W1lVGBc4dFEM2Zk1042rAqwO2NsSIOA9UOXzQ=[/tex]，使得[tex=7.071x2.786]r5Haq7W1lVGBc4dFEM2Zk88512tcDydigD0n9GG/Ty5rukg19ulyW+5+4RYsQ1zw3tmgGIx/Y4JzCB7vgKNPAggHO6sQhtSgoej7t+XnzTP7exhoHd/78sEX2t8P3GZ+oiUczkOkj2x9kJDkYYOnRA==[/tex]。
- 设[tex=0.786x1.286]TKU5UzNEMzEJwORo6mbEYA==[/tex]是[tex=0.643x0.786]FU7w6l1IEII0B13k5eE1RA==[/tex]阶可逆矩阵，[tex=1.0x1.0]1FxgYWJ8+K7k+WveMA+HgE0t3in4r5SVXKzEh99S2mk=[/tex]是[tex=2.286x1.286]I06yRpy8ahH/21Lu+I9pOg==[/tex]矩阵，且[tex=10.786x3.5]1FxgYWJ8+K7k+WveMA+HgMuwybondqV5sCRcDKdvNGd4tzO40WnQ86qvzRRIgKmwBsGp4TjN+5on06AxlPlmlwyGo+hhA6UMO89pNpku8hOWBlf5AvSKx2y6QyNKjCOm7KDS3d0OrFQV83syEQKRJb5dmURShTOQ8UqPf7olHHI=[/tex]，试用分块矩阵的乘法，求一个[tex=4.786x1.286]9GGFGpGcUFxzBsQ2lmZR+73/PcMmakj821OLQd42yb4=[/tex]矩阵[tex=0.929x1.0]r5Haq7W1lVGBc4dFEM2Zk1042rAqwO2NsSIOA9UOXzQ=[/tex]，使得[tex=7.071x2.786]r5Haq7W1lVGBc4dFEM2Zk88512tcDydigD0n9GG/Ty5rukg19ulyW+5+4RYsQ1zw3tmgGIx/Y4JzCB7vgKNPAggHO6sQhtSgoej7t+XnzTP7exhoHd/78sEX2t8P3GZ+oiUczkOkj2x9kJDkYYOnRA==[/tex]。
- 设[tex=0.786x1.286]TKU5UzNEMzEJwORo6mbEYA==[/tex]是[tex=0.643x0.786]FU7w6l1IEII0B13k5eE1RA==[/tex]阶可逆矩阵，[tex=1.0x1.0]1FxgYWJ8+K7k+WveMA+HgE0t3in4r5SVXKzEh99S2mk=[/tex]是[tex=2.286x1.286]I06yRpy8ahH/21Lu+I9pOg==[/tex]矩阵，且[tex=10.786x3.5]1FxgYWJ8+K7k+WveMA+HgMuwybondqV5sCRcDKdvNGd4tzO40WnQ86qvzRRIgKmwBsGp4TjN+5on06AxlPlmlwyGo+hhA6UMO89pNpku8hOWBlf5AvSKx2y6QyNKjCOm7KDS3d0OrFQV83syEQKRJb5dmURShTOQ8UqPf7olHHI=[/tex]，试用分块矩阵的乘法，求一个[tex=4.786x1.286]9GGFGpGcUFxzBsQ2lmZR+73/PcMmakj821OLQd42yb4=[/tex]矩阵[tex=0.929x1.0]r5Haq7W1lVGBc4dFEM2Zk1042rAqwO2NsSIOA9UOXzQ=[/tex]，使得[tex=7.071x2.786]r5Haq7W1lVGBc4dFEM2Zk88512tcDydigD0n9GG/Ty5rukg19ulyW+5+4RYsQ1zw3tmgGIx/Y4JzCB7vgKNPAggHO6sQhtSgoej7t+XnzTP7exhoHd/78sEX2t8P3GZ+oiUczkOkj2x9kJDkYYOnRA==[/tex]。
- 已知[tex=4.786x1.286]tPjXxzgONS63BQnlqH1OMG88XRRryzx9+WPIGFB+heA=[/tex]，[tex=4.786x1.286]5m47jxjmneHKjqlaEPowDI6lP1DXfpqaxOpDaUDodrE=[/tex]，[tex=4.857x1.286]+zcjron+K3ol6QkDcAmG8Q==[/tex]，求[tex=3.143x1.286]Nw7VritSGjTutlypeoKQJg==[/tex]的值。