In Exercises 1 and 2, mark each statement True or False. Justify each answer. 1. a. A
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1. a. A linear transformation is a special type of function.
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d. Every linear transformation is a matrix transformation.
e. A transformation T is linear if and only if
T(c1v1 + c2v2) = c1T(v1 + c2T(v2)
for all v1 and v2 in the domain of T and for all scalars c1 and c2.
2. a. The range of the transformation x ( Ax is the set of all linear combinations of the columns of A.
b. Every matrix transformation is a linear transformation.
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d. A linear transformation preserves the operations of vector addition and scalar multiplication.
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1 a True Functions from R n to R m are defined before Fig 2 A linear transformati...View the full answer
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