Sketching an Image of a Rectangle In Exercises 31-38, sketch the image of the rectangle with vertices at
T is the shear represented by
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Elementary Linear Algebra (MindTap Course List)
- Sketching an Image of a Rectangle In Exercises 31-38, sketch the image of the rectangle with vertices at (0,0), (1,0), (1,2)and (0,2)under the specified transformation. T is the shear represented by T(x,y)=(x+y,y).arrow_forwardFinding the Kernel of a Linear Transformation In Exercises 1-10, find the kernel of the linear transformation. T:R2R2,T(x,y)=(xy,yx)arrow_forwardFinding the Kernel of a Linear Transformation In Exercises 1-10, find the kernel of the linear transformation. T:R3R3, T(x,y,z)=(z,y,x)arrow_forward
- Linear TransformationsIn Exercises 9-22, determine whether the function is a linear transformation. T:33, T(x,y,z)=(x+y,xy,z)arrow_forwardFinding the Kernel, Nullity, Range, and Rank In Exercises 19-32, define the linear transformation T by T(x)=Ax. Find a ker(T), b nullity(T), c range(T)and d rank(T). A=[132313231323132313]arrow_forwardFinding the Kernel, Nullity, Range and Rank In Exercises 19-32, define the linear transformation T by T(x)=Ax. Find a ker(T), b nullity(T), c range(T) and d rank(T). A=[531111]arrow_forward
- Linear TransformationsIn Exercises 9-22, determine whether the function is a linear transformation. T:R2R2, T(x,y)=(x,y2)arrow_forwardFinding the Kernel, Nullity, Range, and Rank In Exercises 35-38, define the linear transformation T by T(v)=Av. Find a ker(T), b nullity(T), c range(T), and d rank(T). A=[121011]arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage