[線代] 一些習題和觀念
1.Let A and B be n*n matrices such that AB is invertible.
Prove that A and B are invertible.
2.令 A 是 m*n 矩陣,且row rank(A) = k,當解 AX = 0 時 (X = ┌ x_1 ┐)
│ x_2 │
為什麼具有 n-k 個自由變數? │ . │
│ . │
│ . │
感謝各位解答!! └ x_n ┘
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