Given the ordered basis 5 7 1 B = A1 3 0 -6 -8 -5 -2 3 Аз -7 45 find [A]B, the coordinates of A : 4 7 -9 28 with respect to B. 15 -19 Ex: 5 [v]s =

Q: 1 Consider the system Ax = b where A = -3 -2 and b -2 .A {[} basis for the null space of A is given…

A: Solution to the system

Q: 2. Describe a linear map which maps the set of vectors (-²2) 0 (6) (2) to the set of vectors

A: Introduction:  As per the guidelines i solves first question. For more solutions please repost the…

Q: It is linear algebra. Please see the attachment

A: Given system of first order linear differential equations is shown below

Q: 2. Define two ordered bases B = and E = on R³. (i) Find the vector vị of R³ whose component vector…

A:

Q: Please answer this linear algebra question and show all steps.

A: The final answer given below:Explanation:

Q: Given the ordered basis 4 B = U2 = 5 U3 = -8 -3 7 -33 find [v]B, the coordinates of v = 57 with…

A:

Q: Find the orthogonal projection ŷ of y = onto the subspace W = Span { uị u2 5 Ex: 1.23 : ŷ =

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Q: The algebra of differential operators closely resembles the algebra of ordinary real polynomials.…

A: True

Q: [5 Find the orthogonal projection ŷ of y = onto the subspace 3 W = Span { uį = 2 u2 3 Ex: 1.23 ŷ =

A:

Q: this is linear algebra

A: Hi! As per norms, we are answering only frist three sub-parts as nothing is specified. If you need…

Q: It is linear algebra. Please see the attachment

A: Consider the given differential equation:

Q: Answer this linear algebra question with all the steps.

A: We will proceed with the question in two directions.Explanation:

Q: What is [A]B, the coordinates of A = | 3 with respect to the standard 8 1 0 0 1 basis B of R2x2? 0 0…

A:

Q: It is linear algebra. Please see the attachment

A: The given linear ordinary differential equation (ODE) is

Q: Which of the following best describes Span ? O a point O three points O a line O a plane O all of R3…

A: We have to check that set is linearly independent. If independent the span R3 otherwise span…

Q: Q2) Show that (R², R , +,.) is a vector space or not? Under additional and scalar multiplication on…

A: Vector Space: A set V is called vector space over the scalar field F if two operations + and · are…

Q: 41. If A and B are skew-symmetric 2 X 2 matrices, under what conditions is AB skew-symmetric?

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Q: b. (1, 1, 1, –1) and (1, 2, –1, 1).

A:

Q: Let {u1 (x) = -9, u2 (x) = 18x, uz (x) = –12x²} be a basis for a subspace of P2. Use the Gram- %3D 1…

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Q: 5. (20 pts) Let W be a subspace of R" of dimension k, where 1 < k < n. Sup- pose {w1, w2, ..., wk}…

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Q: 8. -5 9 The change of coordinates matrix from basis B to basis C of R is given by P = CEB 1 -2 -6 -8…

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Q: с1 b). Consider the discrete dynamical system xk+1 = Axk and write the general solution for x0 = c2.…

A: Let a be a square matrix λ be eiger valueof A then there exist non zero eiger verton xs.t  Ax=λx.Now…

Q: Consider the 4-dimensional vector space P3(R). We can treat the set of mono- mials B = {1, x, x²,…

A: Since you have posted multiple questions, but according to guidelines we will solve first question…

Q: the polynomials t3+ t² + 1, t? – t + 2, t3 + 2, -t³ +t? – 5t + 2 span P3

A:

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.