Find the Canonical transformation of the following equation 3 Urr + 10 ury +3 Uyy } y+7 67=y+3x None } } 7=y-3z

Q: Define similarity transformation. Why is it used?

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Q: The matrix for an onto linear transformation from \R^4 to \R^3.  Find an example

A: Note that: The matrix of the linear transformation from Rn to Rm is of size m × n.

Q: rewrite ax^2+by^2+cz^2+dxy+exz+fyz+gx+hy+iz+j=0 in  standard form by matrix

A: The objective of the question is to rewrite the given quadratic equation in three variables in…

Q: (b) B={(-1,3), (2, -1)} and 8' = {(0, 10), (5,0)} (c) B={(2,5), (-1, -3)} and 3' = {e1, e2} (d)…

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Q: The matrix for a one-to-one linear transformation from \R^4 to \R^3

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Q: Transform the below system into the simpler upper triangular form? a11x1 + a12x2 +. . .   + a1nxn =…

A: Given system is a11x1+a12x2+...+a1nxn=b1a21x1+a22x2+...+a2nxn=b2⋮an1x1+an2x2+...+annxn=bn Using…

Q: 1. Consider the matrices -3 0 2-2 A₁ ¹ = ( ₁ ) ₁4₂ = ( −8 −2 ) ₁4₁ = ( −² − ²). 4 1 13 , , A3 0 -2…

A: We have to match the given matrix with the function represented in the graph

Q: For matrix (0 -1 0, 1 0 0, 0 0 1), show that [adj(A)}^-1 = (1 / det(A))*A = adj (A^-1)

A: The objective of the question is to prove the identity adj(A)^-1 = (1 / det(A))*A = adj (A^-1) for…

Q: 2. Describe the geometry of the linear transformation represented by each matrix. Explain. 3 0 a. ^=…

A: Follow the steps.

Q: Write the linear transformation: A reflection in the line through the origin which forms an angle x…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find an LU decomposition of 7-779 A= -1 -1 11 7 1-3 -1 21 -1 17 15

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Q: 7. - B-[73] Solve for X in the matrix equation: B-4X = A 6

A: Given:  A=1-6510B=-237-1 to solve for X in the matrix equation: B-4X=A

Q: 1 2 3 1[1 1 07 M = 20 0 1 3|1 0 0

A: Write the relation M as a set of ordered pairs. If x,y is an ordered pair in M , then (y,x) is and…

Q: solve for x and y in the matrix A= [ x -4 3 y] if A^2 = [52 -36  27  -11] x = y =

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Q: Let be A, B, C,x. 5x5 matrixes such that A, B and C can be inverted such that AXB" – 151, = c-1…

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Q: Solve for x and y in the matrix A=[x 3 2 y] if A^2 = [ 31 12 8 87] x = y =

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Q: 1. Use row operations to find the inverse of '1 1 2 3 6 5 3 3 7

A: Solve for the inverse of the matrix

Q: Use the Gaussian algorithm to determine the inverse matrix A^-1.   A = 1  2  1 0  1   3 2  4   1

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Q: Find x such that the matrix is singular. ^-[34] A = -6 -4 X =

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Q: Let -5 ^-[33] ²-[+ ₂] = [42], A = E = =-[B] F-[-2] -1 Compute the indicated matrix. (If this is not…

A: We are given three matrices A,E and F. We have to find E(AF)=?

Q: 10. Using = x+y as one of the transformation variable, obtain the canonical form of - 2 .2 дхду ду?…

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Q: why no matrix exists for one-to-one linear transformation from R^4 to R^3

A: Given: We have to prove no matrix exists for one-to-one linear transformation from R4 to R3.

Q: Find the matrix A (in terms of B, C, and D) if (4DA-'B )-1 = C

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Q: Given A = 1 1 0 3 Compute 5A *Matrix

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Q: A and B are n x n matrices.    check the true statements below:   1) det(A)det(B) = -det(B^(t)A^(t))…

A: The objective of the question is to verify the truthfulness of two statements related to the…

Q: What are the 4 types of transformations?

A: To Describe: Four types of transformation

Q: Use the inverse A-1 1 1 to identify the solution of the linear system 1 3 382 = %3D 2 3 2 1

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Q: The symmetric matrix corresponding to the quadratic form X1 x2 = x} – 2x1x2 + 2x1x3 – 3x + 4x2x3 –…

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Q: Xpress

A: The Back shift operator is denoted as B and is defined asByt=yt-1 If yt shifts data to two back…

Q: ces below to answer questions 1-10. A=[22] B=135] C C= [ 1 1 [2 3 -1 D-6 3 ² - - 1 D= E 2 F 0 1 -2 1…

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Q: 1 (2¹) 4 4

A: Given matrix as, A=-2144

Q: matrix A and matrix B are defined in image calculate 3A-3B then find 6A^T

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Q: Find all 2 by 2 matrices that satisfy AA^t=O

A: Since it is given, AAT=0  multiply by A-1 from the left A-1AAT=A-10 AT=0  which implies A is not…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.