[線代] 兩題行列式(台大資工)
1. suppose A in R^(3*3)
and det(xI - A) = x^3 - x^2 + 3x - 2,
then det(xI - A^2) = ?
2. [2^0 2^1 2^2 2^3 2^4 2^5]
[2^1 2^0 2^1 2^2 2^3 2^4]
T = [2^2 2^1 2^0 2^1 2^2 2^3] //2^3 表 2的3次方=8
[2^3 2^2 2^1 2^0 2^1 2^2]
[2^4 2^3 2^2 2^1 2^0 2^1]
[2^5 2^4 2^3 2^2 2^1 2^0]
det(T) = ?
請問這兩題怎麼解呢?
謝謝
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