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[線性代數題庫] - 1-9題
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蘇唯銘
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May 15, 2018, 5:04:45 AM
5/15/18
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to 黃子嘉 - 線代離散研究室
助教你好:
在詳解中" tr(
A
T
A
)=0 -> A=O " ,這部分我不太理解。
謝謝~
林立宇
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May 15, 2018, 7:54:31 AM
5/15/18
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to zjh...@googlegroups.com
tr(A^T A) = (A 中的每一項取平方再相加)
所以 tr(A^T A) = 0 => aij^2 = 0 => aij = 0, for all i, j
上課筆記有, 書上第一章也有提到這個定理
范嘉軒
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Mar 20, 2020, 5:01:20 AM
3/20/20
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to 黃子嘉 - 線代離散研究室
大家好
關於這題的詳解是利用trace去解, 但題目的矩陣並非方陣, 請問仍可用trace去解嗎?
謝謝
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