1.9 The Matrix of a Linear Transformation: Problem 1 Previous Problem List Next
ID: 3185726 • Letter: 1
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1.9 The Matrix of a Linear Transformation: Problem 1 Previous Problem List Next (1 point) Match the following concepts with the correct definitions: 1. T is a one-to-one function from R3 toR3 2. T is an onto function from R3 to R* 3. T is a function from R 3 toR3 A. For every y in R 3 , there is a unique z in R 3 such that T(x)-y. B. For every x in R 3 , there is a y in R 3 such that T(x)-y. C. For every y in R3, there is a z in R3 such that T()-y D. For every y in R 3 , there is at most one x in R 3 such that T(x)-y. (Enter "A", "B", etc.; not "A", "B", etc.)Explanation / Answer
1 matched to A since T is one- to -one means it is 1-1 as well as onto
2 matched to C since according to the definition of onto function every image in R3 (RANGE) there is a pre image in R3(domain)
3 matched to B since function is a relation in which every input has a unique output
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