[理工] [線代]-線性映射
let B={ [1] [1] } and B'={ [0] [1] }. suppose that [T] = [4 -2]
[1],[0] [1],[1] B [2 3]
is the linear transformation relative to the basis B. Then the
corresponding matrix [T] relative to the basis B' is ?
B
B' B'
套公式[T] [I] = [I] [T]
B B B B'
[1] = 0 [0] + 1[1] B'
[1] [1] [1] [I] = [0 -1]
B [1 1]
[1] = (-1)[0] + 1[1]
[0] [1] [1]
帶進去 [T] = [1 -5]
B' [2 6] 答案為 [1 -2]
[5 6]
請問我是錯在哪 ？請各位指教
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