Science:Math Exam Resources/Courses/MATH152/April 2016/Question A 16
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Question A 16 

Consider the matrix representation of a linear transformation . Circle all correct answers below: (a) is invertible. (b) has three rows. (c) has three columns. (d) for some . (e) . 
Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

Review the properties of linear transformation. 
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Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Since the linear transformation is from we have (a) False. A is not a square matrix, so it is not invertible. (b) True. A has three rows. (c) False. A has columns. (d) True. The dimension of the domain is , and is larger than the dimension of codomain which is 3. (e) False. Transpose of A is a matrix and is not the same as A. Therefore, the correct ones are . 