m241rev1sol

# m241rev1sol - M241: Matrix Algebra Midterm 1 Practice...

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M241: Matrix Algebra Midterm 1 Practice Problems Answers Textbook. The answers to all these problems are at the end of the book. Problem 1. The solution to the ﬁrst system is x 1 x 2 x 3 x 4 = - 1 0 1 0 + α - 2 0 - 1 1 + β - 2 1 0 0 . The solution to the second system is x 1 x 2 x 3 x 4 x 5 = - 24 - 7 0 0 4 + α - 3 - 2 0 1 0 + β 2 2 1 0 0 . The third system has no solutions. Problem 2. The system A ¯ x = ¯ b has at least one solution if and only if - b 1 - 2 b 2 + b 3 = 0. The nullspace of A consists of vectors of form α - 4 2 0 3 + β 5 - 7 3 0 . The column space of

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## This note was uploaded on 09/30/2010 for the course MATH 21-241 taught by Professor Irina during the Fall '08 term at Carnegie Mellon.

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m241rev1sol - M241: Matrix Algebra Midterm 1 Practice...

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