Explain why you know that λ is a root of charL(x) if and only if Ker(λId-L)≠0

Q: Which radical function has a domain of (xe Rx≤3) and range of (y e RIy2-4)? Oy--√x+3-4 Oy--√x+3+4…

A:

Q: Verify the Power Rule for the exponent 1/n, where n is a positive integer, using the following…

A: To Verify:  the Power Rule for the exponent 1/n, where n is a positive integer. Using and rewriting…

Q: 11. What is the second term of (m + n)? O 125m*n O25m'n O25m O5m*n 12. One zero of flx) =x' + 2x-…

A: Solution: (m+n)5

Q: H.w Exl Let f(x)= 4x+2X+243and go)=3x+3x+3xx +4, where 2. t. f(x),900€75LX] Compute POX) +g (x).and…

A:

Q: Find the roots of following equation: a. f(x) = 2x²1⁹ + 3x74 + 2x57 + 3x44 in F4 b. f(x) = 3x⁹8 +…

A:

Q: Show that 1/2 is an eventually fixed point for

A: T22 or T12 That can be proved as it will have the 12 in the equation, for any fixed point .

Q: Calculate a root of: f(x) = 5x³ – 5x² + 6x – 2 Using bisection method, with guesses [0 ,1]. Perform…

A:

Q: What are all the roots of f(x) = x* – 3x³ +x – 32 A -1, 3 only 1 ti3 only 2 1tiV3 -1, 3, 2 1, -3, VI…

A:

Q: f(x) Vx+1

A:

Q: Show that A = has two different factorizations of the form A = L · U where L is lower triangular…

A: Given: A=0001. To show: A has two different factorization of the form A=L·U, where L is lower…

Q: In(1+ 5.x?) 2 – 3x Differentiate with respect to x.

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Q: Set f(x) = In(9x - 8). Question 1 For k > 1, f (k) (1) =

A:

Q: Consider sets A and B with |A|=9| and |B|=19. How many functions f:A→B are there?

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Q: 7) Determine the polynomial by Newton's forward difference formula from the following table: x y 0…

A:

Q: Use nested multiplication algorithm to convert the polynomial 1+2x+3x² into its equivale Newton form…

A: In this question, the nested algorithm to convert the polynomial 1+2x+3x2 into its equivalent Newton…

Q: 4) Calculate lim (√t-3, V-2, tan t-4 t-4 (-)). HINT: On the second component, you can factor t - 4…

A: To find:-

Q: Suppose if we use a linear Lagrange polynomial, differentiate and evaluate at x = x0 what formula…

A: Consider the general equation for the linear Lagrange polynomial function and two points.…

Q: 3. Determine the pole and the residue of 22+1 f(x) 24-z-2

A:

Q: 1. D, [3x²y+In(xy²)] За + In(xg In(xy³)]

A: Given,

Q: The error will disappear when using f(x)=x* to find the Lagrange interpolating polynomial p(x) if n…

A: Sol

Q: Smpily by moltipyong (x + 6i)(x-6i) paygomia with こro X-9。 End a

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Q: Suppose I give you the following function f(x) = log,x and for the following points: x- 3, x, = 9,…

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Q: 4. that has the asymptotes x 7 and y = 6. Write an equation for the translation of y = 4 Oy=ー+7 -6 4…

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Q: Suppose Q is a polynomial of degree n>= 2 with distinct roots, none lying on the real axis.…

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Q: Find fo go h. f(x) = x − 1, g(x) = √√√x, h(x) = x - 1

A: Given that: We have to find the value of .

Q: Find the inverse funclion of 5/2 FO)=(2x2 on the doman X20

A: Given function is f(x)=2x52  domain x≥0 find inverse of f(x)

Q: Find a real root between 2 and 3 of the equation x³ – 2x² + x – 3 = 0, correct to three decimal…

A: The bisection method is used to find the root of a function. First find two numbers a and b such…

Q: Show that 1 + 3x is a unit in Z9[x].

A:

Q: Find the real root of the equation, x - 3x- 5 0 by the bisection method.

A: We will find out the required root.

Q: The minimum polynomial of 5'3 over Q is x 1/3

A:

Q: Find Newton’s polynomial that interpolates f(x) = x1 at x = 1, x=2,x=4,andx=5.…

A: Since, function is not clear so we assume fx=1x. We have to find the Newton's polynomial that…

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.