hw4-solutions

Problem 2 a assume b

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Unformatted text preview: 2. (a) Assume | → | | |→ → | (b) |→ | | | | |→ | . For the value of det is zero which means You can check the truth by plugging in the values and using Matlab/Octave. . Problem 3. a. Row operations don’t change the determinant of a matrix. The resulting matrix is: | | | | b. The resulting matrix is: | | c. The resulting matrix is lower triangular hence: | | Problem 4. (a) The corresponding matrix equation is: [ This system has a unique solution iff | [ ] . Hence: | which always holds. Using Cramer’s Rule: ....
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