Let S be a linear transformation from R³ to R2 with associated matrix Let T be a linear transformation from IR² to R² with associated matrix Determine the matrix C of the composition To S. с 2 4-[334] B-[32] A 2

Q: 1 1 6. Let B= { 1 } and y={ 1 |. Find the change-of-coordinates matrix from B-coordinates to…

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Q: 4. Consider the matrix 1 0 0 0 0 0 -2a -a (a² + a) 0 (2-a²) - (2-a²) -2a (2-a²) 2+ 4a - a² Find all…

A: 4) Solution:According to the given data, find the all values of a for which given matrix is psd.

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

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Q: Let -1 -1 A = 0 15 -2 (1) Find a matrix P that diagonalizes A. (2) By definition, the matrix P you…

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Q: What is transformation matrix for reflecting over the y-axis? a. b. C. d. e.

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Q: REI [1.5 5 -151 2 30 -1 2 1 .5 and C= [-2]. -.5 16. For this problem, let A = a) Use your calculator…

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Q: Diagonalize the symmetric matrix 3 -2 1 6 -2 . 1 -2 A = -2 3 Give the similarity transformation…

A: Diagonalization of a matrix: A square {\displaystyle n\times n} matrix {\displaystyle A} over a…

Q: Suppose A is a 2 × 4 matrix, and B is a 4 × 2 matrix. Assuming that A, B act on vectors in R",…

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Q: Assume that T is a linear transformation. T: Projects vectors in its domain onto the line y = 2/3 x.…

A: I have used the projection formula. And for the given line i have used direction vector

Q: Orthogonally diagonalize A Tu 4 4 0 0 9

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

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Q: The coordinate Xỉ system is obtained by rotating the system Xi about the X3 axis through an angle in…

A: According to the given information it is required to find the transformation matrix that shows the…

Q: Find Jordan form of this matrix

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Q: Solve for the matrix X: 35 1 2 *(²2)- ²×(²3)-( :) X = 72 20 The first row of X is given by is X11 =…

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Q: Q6) Find the standard matrices for A and A' where T1 : R2 → R3 ,T1 (x,y)=(x,y,y) and T2 : R3 → R2…

A: These question related to matrix and linear transformation

Q: Use the matrix P to determine if the matrices A and A' are similar. 13 4 P = - 12²]-[-28-12] - [23]…

A: I have explained everything with in the solution. Please go through that.

Q: Matrix X 1 -1,4 1,4 -1,4 1,4 0. Matrix Transpose X 0, -1 -1 -1,4 1,4 -1 -1 1 -1,4 1,4 multiply…

A: Matrix: A matrix is defined as a rectangular array of elements which are arranged in rows and…

Q: Construct a 3x5 matrix A such that dim Nul 4. Explain and justify your answeT.

A: We need to construct a 3x5 matrix A such that dim Nul A = 4. So, nullity(A) = dim Nul A = 4. We know…