Question: 41. 42. The following table lists data collected during a recent experiment. In this case, x represents age (in years) and y represents the

41. 42. The following table lists data collected during a recent experiment.

41. 42. The following table lists data collected during a recent experiment. In this case, x represents age (in years) and y represents the given diameter (in inches). 3 5 7 11 13 y 5.73 6.44 7.01 7.67 8.23 9.11 9.85 Use the linear regression feature on your graphing calculator to find a line of best fit for this data. Use the equation you found to predict the diameter given an age of 6 years. For the following piecewise-defined function, find f(-1). 1-5x ifx 1

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41. Does there ever exist a c-inverse of A that is equal to A if A is singular?

36. Find a c-inverse of the matrix A in Prob. 6.

28. Let A be an matrix and let P be any matrix of rank . Show that PA' is a c-inverse of AP, where A' and P' are any c-inverses of A and P, respectively.