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Well for the second one you simply multiply the inverse of S to both sides. And that cancels the S on the left side
Well, there are two parts to this question. 1) Write the inverse matrix for S and 2) Determine if the columns of S are linearly independent. part (2) is easy to do -- count the pivot positions in the matrix S. If there are three, then it's invertable, if not, then it's not invertable.
wow, ok. This is crazy because the question is in the first chapter of my text! Literally there were two pages about matrices before this!
What text are you using?
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introduction to linear algebra. fourth ed. ( strang)
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