Finding the Standard Matrix and the Image In Exercise
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Elementary Linear Algebra (MindTap Course List)
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- Finding the Standard Matrix and the Image In Exercise 11-22, a find the standard matrix A for the linear transformations T, b use A to find the image of the vector v, and c sketch the graph of v and its image. T is the reflection in the vector w=(3,1) in R2:T(v)=2projwvv, v=(1,4).arrow_forwardFind the bases for the four fundamental subspaces of the matrix. A=[010030101].arrow_forwardhow do you do this?arrow_forward
- (a) Find a rotation matrix that maps the vector v= (1,1,1) into (1,-1,1) . (b) Find a rotation matrix that maps the vector v= (0,V3/2,-1/2) into (-1,0,0>arrow_forward[Linear Algebra] How do you solve this?arrow_forwardDiagonalize the quadratic form by finding an orthogonal matrix Q such that the change of variable x- Qy transforms the given form into one with no cross-product Enter your answer in the form (Q. f(y)) = ([[row 1], [row 2]]. (y)). where each row is a comma- C terms. Give Q and the new quadratic form, f(y). (Assume y separated list and f(y) is in terms of y (Q. (y)) - 6x₁² + 9x₂² Need Help? - 4x₁x2 Read it and Y₂)arrow_forward
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