5) Be AERnxn with a characteristical polynomial of P(x)= aot What does Pa(o)= a represent? &...
For the continuous distribution below, what does the shaded area represent? P(x > 0) P(6 < x < 7) P(x>7) P(0 < x < 6)
in C++ as Exercise P12.14. Write a class Polynomial that stores a polynomial such p(x) = 5x10 + 9x7-x-10 as a linked list of terms. A term contains the coefficient and the example, you would store p(x) as power of x. For (5,10),(9,7),(-1,1),(一10,0) Supply member functions to add, multiply, and print polynomials. Supply a com- structor that makes a polynomial from a single term. For example, the polynomia; can be constructed as Polynomial p(Term(-10, 0)); p.add (Polynomial(Term(-1, 1))); p.add (Polynomial(Term(9,...
1. For a polynomial p(1) = cktk + Ck-14k-1 +...+ci+co, and an n x n matrix A, we define p(A) = CkAk + Ck-1 Ak-1 + ... +CjA + col. Let A be an n x n diagonalizable matrix with characteristic polynomial PA(1) = (1-2)*(1-3)n-k where 1 <k<n - 1. In other words, let A be an n x n diagonal- izable matrix that has only 2 and 3 as eigenvalues. Explain what is wrong with the following false "proof...
Mandatory Discussion #06 All Sections Consider the set of polynomial S p(),P2(),pa(z),p4(z),ps(),P6(), where pi (x) 3 + 1,p2(x)-3,ps(x)3 »P5(* Find a basis of the subspace W-Span(S).
If P(A)-07, P (B)=0.8 and P(A or B) =0.9. what is the PA and B). Consider the probability function P(x)=6-6 A telemarketer selling service contracts. He has sold i 5 contracts in his last 100 calls (pr 15). If he calls 10 people tonight, what's the probability of Llo p-IS 。厚+0见-o3 . PLANE) 12. What is P(5 < x <7)2 (6), kb. 6-1 for x-2,3,4,5, 6 PC o)_ (1:) [o-,5) G-ぁ.1.) 1.ご9./ d. Random events arrive on the average at...
The polynomial of degree 4 The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 4 and roots of multiplicity 1 at x = 0 and x = – 2. It goes through the point (5, 7). Find a formula for P(x). P(x) =
The nth-order Taylor polynomial for a function f(x) using the h notation is given as: Pa (x + h) = f(x) + f'(a)h + salt) 12 + () +...+ m (s) n." The remainder of the above nth-order Taylor polynomial is defined as: R( +h) = f(n+1)(C) +1 " hn+1, where c is in between x and c+h (n+1)! A student is using 4 terms in the Taylor series of f(x) = 1/x to approximate f(0.7) around x = 1....
5. (EXTRA CREDIT) Construct a quadratic polynomial p(x)=ar2+bz+c satisfying and p"(1) f"(1) assuming that the following conditi f(+Inz. As part of your answer, neatly graph both the function f(x) and the polynomial p(x). The polynomial p(z) represents a second-order approximation to the function at the point -1. ons: p(1) = f(1), p'(1)-/,(1)
Find x intercepts of the polynomial: p(x)=(x-5)(x+2)(x-1)-30; . Show all steps
5. Let A € Mnxn(C) with characteristic polynomial p(x) = cxºII-1(d; – x) and li + 0, Vi, a E Z>o. Show that if dim(ker(A))+k=n, then A= C2 for some complex matrix C.