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University of Toronto Department of Mathematics MAT223H1S Linear Algebra I Solutions to Midterm Exam II March 22, 2013 M. Mota, F. Murnaghan, P. Samuelson, S. Rayan, S. Uppal Duration: 1 hour 30 minutes 1 of 7 DownloaderID 21140 ItemID 8762 Downloader ID: 21140 Item ID: 8762 Item ID: 8762 Item ID: 8762 Item ID: 8762 Downloader ID: 21140 DownloaderID 29394 ItemID 17930 Downloader ID: 29394
1. Consider the subspace W = { A M 2 × 2 ( R ) | A bracketleftbigg 1 1 1 1 bracketrightbigg = 0 } of M 2 × 2 ( R ). [8] (a) Find a basis for W . [2] (b) Determine the dimension of W . (b) The dimension of W is 2 because the basis consists of two vectors. Item ID: 8762 Downloader ID: 21140
2 of 7 ItemID 8762 Item ID: 8762 Item ID: 8762 Downloader ID: 21140 ItemID 17930 Item ID: 17930 Downloader ID: 29394
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