Linear Transformation Given by a Matrix In Exercises 23-28, define the linear transformation
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- Linear Transformation Given by a Matrix In Exercises 23-28, define the linear transformation T:RnRm by T(v)=Av. Use the matrix A to a determine the dimensions of Rn and Rm, b find the image of v, and c find the preimage of w. A=[121101], v=(5,2,2), w=(4,2)arrow_forwardThe Standard Matrix for a Linear TransformationIn Exercises 1-6, find the standard matrix for the linear transformation T. T(x,y)=(5x+y,0,4x5y)arrow_forwardFinding 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_forward
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