高校问答玲珑塔喊麦完整版 天佑:英文数学题,有数学专业的帮帮忙.
来源：百度文库 编辑：高校问答 时间：2024/07/05 20:22:53
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.