Science:Math Exam Resources/Courses/MATH221/December 2011/Question 02 (a)
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Question 02 (a) |
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Determine the values of t for which the following matrix is invertible. |
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 |
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What do you know about the determinant of a matrix? |
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.
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Solution |
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Please rate my easiness! It's quick and helps everyone guide their studies. We know that a matrix is invertible if and only if its determinant is not 0. Then, Hence the determinant of the matrix A is zero if and only if t = 1. And so, the matrix is invertible for all values of t different than 1. |