In Exercises 1-12, determine whether T is a linear transformation.
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Linear Algebra: A Modern Introduction
- In Exercises 1-12, determine whether T is a linear transformation. 8. defined byarrow_forwardIn Exercises 1 and 2, determine whether the function is a linear transformation. T:M2,2R, T(A)=|A+AT|arrow_forwardFind the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).arrow_forward
- In Exercises 7-10, find the standard matrix for the linear transformation T. T(x,y)=(3x+2y,2yx)arrow_forwardIn Exercises 1-12, determine whether T is a linear transformation. T:MnnMnn defines by T(A)=AB, where B is a fixed nn matrixarrow_forwardLet T be a linear transformation from R2 into R2 such that T(1,0)=(1,1) and T(0,1)=(1,1). Find T(1,4) and T(2,1).arrow_forward
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