4 87 Find the least-squares line given the matrix products A" A and 87 1927 545.3 AT b || 11962.5 y = Ex: 1.2 + Ex: 1.2 x

Q: Let A and B be square matrices of order 4 such that |A| = -4 and |B| = -4. Find the following. (a)…

A:

Q: The augmented matrix 0.6931 0.3863 1.7726 1 1.3863 can help you find the values of a and b in the…

A:

Q: Multiply the 4 by 4 matrix T for translation along (1, 4, 3) and the matrix T 1 for translation…

A:

Q: QUESTION 9 9) Indicate whether the matrix is in row-reduced form. 1 0 1 9. 1 8 -1 The matrix is in…

A: Yes. The matrix is in row-reduced form

Q: 1 31 A = 2 7 . A·B = B · A = I3×3 -2 -4 -5. ]

A:

Q: Let's create a matrix that reflects around a line that is perpendicular to the vector n = [0.375,…

A: A matrix that reflects around a line y=mx s given by, 1-m21+m22m1+m22m1+m2-1-m21+m2 Since, the line…

Q: 8. 3 a) Let A = ( 6 1 3 ,B = 6 -2/ %3D 1 Then find the matrix AB. -4 -1

A:

Q: What is 'a', if B as shown below is a singular matrix?

A: A singular matrix is a matrix whose determinant is zero.

Q: ( -10! BIf (21-A)-! evaluate the matrix A.

A:

Q: Fincd the inverse matrix by cofector u A= 3 2

A: Given query is to find the inverse matrix.

Q: Exercise 51. Is there a square matrix X with real entries such that det(X¹X) = -3?

A: detXTX=-3 X is a square matrix with real entries.

Q: Find the transpose of the resulting matrix: -100 A = 2 3 4 x 5 2 5-4

A:

Q: Find the general form of the span of the indicated matrices. (Use only x and w as variables in your…

A:

Q: 16 21 Let A = |-14 -19 Find two different diagonal matrices D and the corresponding matrix S such…

A: Given matrix is A=1621-14-19 We find the eigenvectors. For eigenvalues, A-λI=0⇒1621-14-19-λ…

Q: Q/If you have the triple matrix below The inverse of matrix (A): 0.885 0.473 0.781 (A) = 2.047 0.973…

A: Sol:- 0.8850.4730.7812.0470.4780.1570.9730.8950.715-1Augment with a 3x3 identity…

Q: Rank of the matrix A = (a) 1 (b) 2 (c) 3 (d) 4 1234 6 7 8 765 2468 5 8 is,

A:

Q: Q4: If the matrix A = (; :),s Show that A2- 2A – 21 = 0.

A: We observe that characteristics eqn of A will be x^2-2x-2=0. By Caley hamilton tum put x=A we get,…

Q: 7. (S.15). Find the inverse A-1 of the matrix -2 -3 A = 0 2 -1 -1 -2 3

A: Matrix Question

Q: (a) Show that the jth column of the matrix product AB is equal to the matrix product Ab;, where b;…

A:

Q: 1 8 Which of the entries in the matrix 2 -3 -7 9 A) 4 B) 1 Ⓒ-3 (D) -6 -61 4 has-37 as its cofactor?…

A: We have to find correct option by finding element whose cofactor is -37

Q: If xER" is a column vector (i.e. an n ×1 matrix), then In-2xx' is always a symmetric matrix. True…

A: Consider the given column matrix as x=x1x2⋮⋮xn-1xn, x∈Rn. Compute the transpose of the matrix x as…

Q: Express the matrix A-¹ as a product of elementary matrices using In= EkEk-1...E₁A. 100 220 313 A =

A:

Q: Which of the following is the matrix C that satisfies the equality (CT +312) -1 3 (a) 2 -5 (:) 5 -2…

A: First take inverse on both sides of matrix equation CT+3I2-1=2714. CT+3I2-1=2714CT+3I2-1-1=2714-1…

Q: Find the transpose of the matrix. -2 -1 D = 1 4 -3

A:

Q: Now write ageneric exampledaux2 motrix a with entries paying close attention to the subscripts है…

A: Generic Example of a 4×2 matrix  Let A be a 4×2  matrix. For any entry,aij i represents the ith row,…

Q: Find the adjacency matrix for C_4 *

A: We need to find the adjacency matrix of the cycle C4.

Q: 10 3 2) Let the Matrix A= 3 4 -1 25-4 then Find A- by elementary row operations only.

A: Given that A=10334-125-4 find A-1by elementary row operations only

Q: ind the value(s) of k for which has matrix-8-79 has rank 2

A: Please refer to the image below

Q: In general given two matrices A and B then: A' = B'. O None of the other answers. ○ A'B = (B' A)'.…

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.