Difference between revisions of "031 Review Part 2, Problem 8"

Revision as of 19:56, 10 October 2017

Let $A={\begin{bmatrix}1&3&8\\2&4&11\\1&2&5\end{bmatrix}}.$ Find $A^{-1}$ if possible.

Foundations:
To find the inverse of a matrix $A,$ you augment the matrix $A$
with the identity matrix and row reduce $A$ to the identity matrix.

Solution:

Step 1:

Step 2:

Final Answer:

@@ Line 11: / Line 11: @@
 !Foundations: &nbsp;
 |-
-|
+|To find the inverse of a matrix &nbsp;<math style="vertical-align: -4px">A,</math>&nbsp; you augment the matrix &nbsp;<math style="vertical-align: 0px">A</math>&nbsp;
+|-
+|with the identity matrix and row reduce &nbsp;<math style="vertical-align: 0px">A</math>&nbsp; to the identity matrix.
 |}