Consider the linear transformation
(a) Find
(b) In the particular case when
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Differential Equations and Linear Algebra (4th Edition)
- In Exercises 1-12, determine whether T is a linear transformation. T:MnnMnn defines by T(A)=AB, where B is a fixed nn matrixarrow_forwardFind a basis for R2 that includes the vector (2,2).arrow_forwarda Let T=[3001]. What effect does T have on the gray square in Table 1? b Let S=[1002]. What effect does S have on the gray square in Table 1? c Apply S to the vertices of the square, and then apply T to the result. What is the effect of the combined transformation? d Find the product matrix W=TS. e Apply the transformation W to the square. Compare to you final result in part c. What do you notice?arrow_forward
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