Find the matrix A representing the follow transformations T. In each case, check that Av =...

Find the matrix A representing the follow transformations T. In each case, check that Av = T(v)

T(T(x,y,z))

where T(x,y,z)=(x-3y+4z, 6x-2z, 8x-y-4z)

Expert Solution

Q.

Find the matrix A representing the follow transformations T. In each case, check that

Av = T(v)

T(T(x,y,z))

where T(x,y,z)=(x-3y+4z, 6x-2z, 8x-y-4z)

Answer:-

Colby Messinger answered 1 year ago

Find the matrix A representing the follow transformations T. In each case, check that Av =...

Find the matrix A representing the follow transformations T. In each case, check that Av = T(v) Step by step please. A. T(x,y,z) = (x-3y+4z, 6x-2z, 8x-y-4z) B. T(x,y) = (x,y,y-x,x+y, 6x-9y) Thank you!

Question 2. True or false 2. If [T]β is the matrix representing the linear map T...

Question 2. True or false 2. If [T]β is the matrix representing the linear map T in the basis β, then the jth column of [T]β contain the coordinates of the T(βj) in the basis β, and same for the rows.

(3) Write elimination matrix representing each step in elimination process. ( not augmented matrix) (a) 2x...

(3) Write elimination matrix representing each step in elimination process. ( not augmented matrix) (a) 2x + y − z = 3 x + 3y − z = 6 3x − y + 7z = 8 b) x+y−z−t=0 x + y + 2z − t = 3 2x + 2y + z + 3t = 13 x + 2y + 5z − 7t = 3

Find the matrix P that diagonalizes A, and check your work by computer P^-1AP. This matrix...

Find the matrix P that diagonalizes A, and check your work by computer P^-1AP. This matrix is [-14 12] [-20 17] I've tried this problem, and I keep getting the eigenvalues of λ=1, 2 and the eigenspace [4 5] for λ=1, and eigenspace [3 4] for λ=2. However, whenever I check it with P^-1AP, it doesn't produce a diagonal matrix.

Find the matrix A' for T relative to the basis B'. T: R3 → R3, T(x,...

Find the matrix A' for T relative to the basis B'. T: R3 → R3, T(x, y, z) = (y − z, x − z, x − y), B' = {(5, 0, −1), (−3, 2, −1), (4, −6, 5)}

In Java please You are given a matrix of characters representing a big box. Each cell...

In Java please You are given a matrix of characters representing a big box. Each cell of the matrix contains one of three characters: " / "which means that the cell is empty; '*', which means that the cell contains an obstacle; '+', which means that the cell contains a small box. You decide to rotate the big box clockwise to see how the small boxes will fall under the gravity. After rotating, each small box falls down until it...

1. For each matrix A below compute the characteristic polynomial χA(t) and do a direct matrix...

1. For each matrix A below compute the characteristic polynomial χA(t) and do a direct matrix computation to verify that χA(A) = 0. (4 3 -1 1) (2 1 -1 0 3 0 0 -1 2) (3*3 matrix) 2. For each 3*3 matrix and each eigenvalue below construct a basis for the eigenspace Eλ. A= (9 42 -30 -4 -25 20 -4 -28 23),λ = 1,3 A= (2 -27 18 0 -7 6 0 -9 8) , λ = −1,2...

In each case, determine a 3 × 3 matrix ? that fits the description. Justify that...

In each case, determine a 3 × 3 matrix ? that fits the description. Justify that the conditions are met in each case. (a) Matrix ? has rank 1 and ? + ? is not invertible. (b) Matrix A is symmetric and the null space of ? is a point.

for each matrix A below, describe the invariant subspaces for the induced linear operator T on...

for each matrix A below, describe the invariant subspaces for the induced linear operator T on F^2 that maps each v set of F^2 to T(v)=Av. (a) [4,-1;2,1], (b) [0,1;-1,0], (c) [2,3;0,2], (d) [1,0;0,0]

Suppose you have one data set with 30 cases, each case representing a student in this...

Suppose you have one data set with 30 cases, each case representing a student in this class. The following variables are available: age, gender/sex, race/ethnicity, class (freshman, sophomore, etc.), and GPA. For each of the 5 variables, explain (1) the level of measurement and (2) the measures of central tendency available to them. Race: Gender/sex: Race/ethnicity: Class: GPA:

Question

Find the matrix A representing the follow transformations T. In each case, check that Av =...

Solutions

Expert Solution

Related Solutions

Find the matrix A representing the follow transformations T. In each case, check that Av =...

Question 2. True or false 2. If [T]β is the matrix representing the linear map T...

(3) Write elimination matrix representing each step in elimination process. ( not augmented matrix) (a) 2x...

Find the matrix P that diagonalizes A, and check your work by computer P^-1AP. This matrix...

Find the matrix A' for T relative to the basis B'. T: R3 → R3, T(x,...

In Java please You are given a matrix of characters representing a big box. Each cell...

1. For each matrix A below compute the characteristic polynomial χA(t) and do a direct matrix...

In each case, determine a 3 × 3 matrix ? that fits the description. Justify that...

for each matrix A below, describe the invariant subspaces for the induced linear operator T on...

Suppose you have one data set with 30 cases, each case representing a student in this...