Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Chapter 3 - Determinants - Review Exercises - Page 140: 57


$$\left[ \begin {array}{ccc} 1&-1\\ 2&0 \end {array} \right].$$

Work Step by Step

Let $A$ be a matrix given by $$A =\left[ \begin {array}{ccc} 0&1\\ -2& 1 \end {array} \right].$$ Now, the cofactor matrix of $A$ can be calculated by $$\left[ \begin {array}{ccc} 1&2\\ -1& 0 \end {array} \right]$$ hence the adjoint matrix of $A$ is given by $$\left[ \begin {array}{ccc} 1&-1\\ 2&0 \end {array} \right].$$
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