杭州交通信息网南京瑜伽教练证怎么考:英文数学题,有数学专业的帮帮忙.
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1.prove or disprove statement:if A平方 is symmetric,then A is symmetric.
2.let A be an n*n matrix,prove if Ax=0for all n*1 matrix x,then prove A=O(O=0 matrix)
3.explain in detail,why an upper traingular matrix with non-zero diagonal entries must be invertible.
4.A matrix B is called an involution if B平方=I,in 3*3 matrix algebra,find at least 8involutions.
2.let A be an n*n matrix,prove if Ax=0for all n*1 matrix x,then prove A=O(O=0 matrix)
3.explain in detail,why an upper traingular matrix with non-zero diagonal entries must be invertible.
4.A matrix B is called an involution if B平方=I,in 3*3 matrix algebra,find at least 8involutions.