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無年度 - 主題課程_對角化：特徵多項式和行列式#107845
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題組內容
Given the following matrix
(b) Find the determinant of A
其他申論題
Let and f(s) = s4 - 13s3 + 17s2 - 13s + 87. Please find f(A).
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Let .Please find f(A), where f(t)=t4-3t3-6t2+7t+2.
#462081
If A is an nxn matrix, derive the characteristic polynomial of A.
#462082
(a) Find the eigenvalues of A
#462083
(c) Based on (a), state whether A is invertible or not
#462085
(a) What are the eigenvalues of this matrix?
#462086
(b) What are the eigenvectors of this matrix?
#462087
(c) What is the determinant of this matrix?
#462088
(d) When will this matrix have its inverse? Please tell us your reason.
#462089
(e) Please evaluate (A - 2I)(A - 4I)(A - 51) + A, where I is a 3-by-3 identity matrix.
#462090
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