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SOLVED: Find the characteristic polynomial of the matrix , using either cofactor expansion or the special formula for 3x 3 determinants. [Note= Finding the characteristic polynomial 3x3 matrix not easy to do with just row operations, because the variable iS involved ]3 3The characteristic polynomial is (Type an expression using as the variable )

SOLVED: Find the characteristic polynomial of the matrix , using ei…

Let A be an n ×n matrix. The characteristic polynomial of matrix A is given by: P(λ)= λ^n α1 λ^n-1 α2 λ^n-2 ⋯ αn-1 λ Show that the coefficients of the characteristic polynomial can be computed by the following recursive equations: α1=-W1 α2=-(1)/(2)(a1 W1 W2) α3=-(1)/(3)(a2 W1 a1 W2 W3) ⋯ =-(1)/(n)(an-1 W1 an-2 W2 ⋯ a1 Wn-1 Wn) where Wk= Trace (A^k), k=1,2, …, n. | Numerade

Let A be an n ×n matrix. The characteristic polynomial of matri…

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