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--- pow:problem3f21 [2021/10/11 02:28] – created mazur
+++ pow:problem3f21 [2021/10/12 03:53] (current) – mazur
@@ Line 1: / Line 1: @@
+<box 80% round orange| Problem 3 (due Monday, October 11)>
+A student in a linear algebra class looks at her homework problem.
+It says: Prove that the product $BA$ is the same for any $3\times 2$
+matrix $A$ and $2\times 3$ matrix $B$ such that
+\[AB=\begin{bmatrix}
+&-1 & 0\\3 &-1 & 0\\-1 & 1 & \end{bmatrix}.\]
+Unfortunately, the entry in the
+lower right corner of $AB$ is missing. Find the missing entry and solve
+the homework problem.
+</box>
+The problem was solved by Ashton Keith, Maxwell T Meyers, and Pluto Wang. Our solution provides a good
+illustration how to use some basic tools from linear algebra. The submitted solutions are more ad hoc.
+For details see the following link {{:pow:2021fproblem3.pdf|Solution}}.