设[tex=0.786x1.286]pi/GsQ3apuRt43V3XQq/tA==[/tex], [tex=0.786x1.286]q1djlrfSWHAqH21hBgtrSw==[/tex]为[tex=0.643x1.286]Nud/2eskX2OmQOds9nx+Fw==[/tex]阶对称矩阵，证明[tex=1.571x1.286]cHJ4KDAad01mWuGaiQQpfA==[/tex]是对称矩阵的充分必要条件是[tex=4.357x1.286]hYSGrw5He693xGJsPlhlQQ==[/tex].
设[tex=0.786x1.286]pi/GsQ3apuRt43V3XQq/tA==[/tex], [tex=0.786x1.286]q1djlrfSWHAqH21hBgtrSw==[/tex]为[tex=0.643x1.286]Nud/2eskX2OmQOds9nx+Fw==[/tex]阶对称矩阵，证明[tex=1.571x1.286]cHJ4KDAad01mWuGaiQQpfA==[/tex]是对称矩阵的充分必要条件是[tex=4.357x1.286]hYSGrw5He693xGJsPlhlQQ==[/tex].
设[tex=0.643x1.286]Nud/2eskX2OmQOds9nx+Fw==[/tex]阶矩阵[tex=0.786x1.286]pi/GsQ3apuRt43V3XQq/tA==[/tex]及[tex=0.5x1.286]r65Ank8E1dV+BtDCLn5S+w==[/tex]阶矩阵[tex=0.786x1.286]q1djlrfSWHAqH21hBgtrSw==[/tex] 都可逆, 求(1)[tex=5.929x2.929]rwMhqGKFQ+j3l2qMx/grPmtqXebwM7lRAV7uUT8ea0FCL1MAiTkcIUmbpKZBtEflME05K6QZLyCpaaEi/cmy2NOaEElFekXmtlEtJzfu/3o=[/tex]; (2)[tex=5.929x2.929]rwMhqGKFQ+j3l2qMx/grPqH4onJbyJSuN9BDoj1IoCp3XXc+tuCZRRR1rFYfdwjr+mbUYeI53nhkQMNOXv1vJDNsBVTUq4z8ki3uzTpao7M=[/tex].
设[tex=0.643x1.286]Nud/2eskX2OmQOds9nx+Fw==[/tex]阶矩阵[tex=0.786x1.286]pi/GsQ3apuRt43V3XQq/tA==[/tex]及[tex=0.5x1.286]r65Ank8E1dV+BtDCLn5S+w==[/tex]阶矩阵[tex=0.786x1.286]q1djlrfSWHAqH21hBgtrSw==[/tex] 都可逆, 求(1)[tex=5.929x2.929]rwMhqGKFQ+j3l2qMx/grPmtqXebwM7lRAV7uUT8ea0FCL1MAiTkcIUmbpKZBtEflME05K6QZLyCpaaEi/cmy2NOaEElFekXmtlEtJzfu/3o=[/tex]; (2)[tex=5.929x2.929]rwMhqGKFQ+j3l2qMx/grPqH4onJbyJSuN9BDoj1IoCp3XXc+tuCZRRR1rFYfdwjr+mbUYeI53nhkQMNOXv1vJDNsBVTUq4z8ki3uzTpao7M=[/tex].
1