Finding the kernel and range of L. X1 X1+ X2 Where the L X2 L: R3-R2 X2+ X3 x3

Q: QNO:1 Graph the Funcbion and Find the zeros and the the ronge f(x) =JIq-x리-1 doma in ond

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Q: ssignment Active Using the Fundamental Theorem of Algebra Find the root(s) of f (x) = (x- 6)²(x +…

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Q: X1 X1 = L X2 X1, then Im(L) spanned by: X3 X1

A: Given : Lx1x2x3 = x1x1x1 = x1111

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Q: 1. (10 points) Consider the set V of polynomials of the form ac® + bx4+ca² +d, where a, b, c, d e R.…

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A: This question can be solved using the concept of power representation of given function.

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Q: { 1 + x + x², x + x², x²}. %3D for P2. Let p(x) = -1 +x + 2x2. Then [p(x)]B = %3D %3D

A: The given basis is B=1+x+x2,x+x2,x2 for p2. let p(x)=-1+x+2x2 We have to find,  p(x)B=?

Q: (b) Consider f(x) = 2x³ + 3x² + 4 in Z[], and the evaluation homomorphism 2 [2] : Z₁ [2] → Zg. (i)…

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Q: z = -11 – 6i; determine the following: 1. z-5

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

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Q: p(5)* Define T: P2 → R² by T(p) Find a non-trivial element of the kernel. .P(6). p(t)

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Q: (3) Conjugate the map f(x) = 2x² +x – 3 to a map of the form Q(x) = x² + c. Find the conjugacy map h…

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Q: Lagrange's polynomial p1 (x) that interpolates f(x) = - at x = 0.2 and a = 0.5 is %3D Select one: a.…

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Q: 6. Using the Newton's backward interpolation formula construct an interpolation polynomial of degree…

A: Newtons Backward difference formula table x y ∇y ∇2y ∇3y -0.75 -0.0718           0.0471…

Q: 1 Let f(x) 8 - + 2. and g(x) x - 7 Find the domain of the composition f(g(x). The domain of f(g(x))…

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Q: Using Cramer's rule X1+ x2 + x3 = 20 X1 – x2 + x3 = 4 2x1 + x2 – x3 = 16

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Q: 1. Prove that if f is multiplicative, then E lu(d)\f(d) = II(1+ f(p)). Suggestion: Modify the proof…

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Q: QUANTIFICATION True or False (FOR ALL x)(FOR ALL y), x, y are any integers: x + y = 0.

A: True or False (FOR ALL x)(FOR ALL y), x, y are any integers: x + y = 0.

Q: 3. Let N eNand let PN be the set of all polynomials in the variable x of degree at most N with…

A: For the solution follow the next step.

Q: Corollary 5.31. If p(x) is irreducible in F[x] and p[x] divides the product r¡(x)· · · rn(x) for…

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Q: 6 plve the Rational Inequality: x(x²–25)(x-8) < 0. (x-12)(x+16) Section 3.6 O (-0, -16) U(-5, 0) U…

A: We have to solve the inquality

Q: p(4) Define T: P2 R? by T(p) = Find a non-trivial element of the kernel. p(6) p(t) =

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Q: Find the GCD of the polynomials f (x) and g (x). Find linear representation of GCD f(x) = x3 – x2 -…

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Q: direct and direct let be a k. then pooduct of is z'G) product ZCH) and zck).

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Q: Show how you find the Kernel and Image of T. Then verify dim Ker T and dim Im I you obtained by…

A: In this question, we have to find the Kernel and Image of any given linear transformation T and…

Q: Finding the kernel and range of L. X1 X1+ X2 Where the L X2 , L: R³¬R? X2+ X3 x3

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Q: A polymonial f(x) and one or more of its zero are given. f(x) = xˆ4 - 10xˆ3 + 24xˆ2 + 50x -145. 5 +…

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Q: IExamplé.19-371. By consjdering the limit of three points, Lagrange's interpolation formula for…

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Q: (4) abelian. Prove that the following commute. Let a, b e G such that a and b commute, i.e. ab = ba.…

A: As per the guidelines we have answered first three parts.For remaining parts please repost question.

Q: a) Write the Laurent expansion of the function w(z) around the point z = i. z2+1 || b) Find the…

A: I have used the binomial expansion

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Q: QUESTION 1 What map is normally used to define an isomorphism from (R, +) to (R*, x)? (The…

A: We use the results in group theory.

Q: Suppose that p0, p1, . . . , pn are polynomials in Pn(R), where Pn is the set of all polynomials of…

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Q: A=2.7907 6= 3.2876 C=3 tnd the largest Lalle A 8.0 Such that For all X04-C128 inmplies aLxcb.

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Q: (2) Conjugate the map f(x) = 3x(1 – x) to a map of the form Q(x) = x² + c. Find the conjugacy map h…

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Q: 5. Let W be the space of polynomials p(x) with real coefficients of degree < 10, satisfying p(0)…

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Q: 5. Find all values of k for which A is invertible. [k A=0 Lk -k 3 k+1 1 -8 k-1.

A: As per guidelines I have solved the first question i.e.questions no.5 if you want solution of other…

Q: Finding the kernel and range of L. X1 X1+ X2 Where the L X2 L: R3-R? X2+ X3 x3

A: Find the range and kernel of L L(x1,x2,x3)=(x1+x2,x2+x3)

Q: Horner's rules is means for evaluating a polynomial at a point xo using minimum number of…

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Q: the rational canonical and ordan canonical forms 1 0 0 0 -1 2 0 1 1 2 -3 4 A = -1

A: Given: To find the rational canonical and Jordan forms of the matrix A=0100-34002-120-1112

Q: 2. x₁ + x₂ = x3 2x4+x5 2x₁ + 3x₂x3 = 7x4 + 4x5 2x₁ + 4x₂ 10x4 + 6x5 - = 0 = 0 = 0 3. Let ƒ (X) = X²…

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.