[問題] 可以借我問兩個線性代數的問題嗎?

[wawawochi (granada)]

親愛的應數同學，麻煩你們幫我想一下怎樣證明!!感激不盡!!

1. Let A be an m×n matrix. Show that 0 < = rank(A) < = min{m, n}
                                      (小於等於)   (小於等於)

2. Show that the rank of a diagonal matrix equals the number of nonzero
   diagonal elements it possesses. Is the same true for a triangular matrix?

感謝啦!!!!

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