Matrix Operation Practice
Perform the indicated matrix operations where
+ is addition
* is multiplication
/\ is meet
\/ is join and
. is Boolean product
2 1 -1 1
+ =
-1 0 0 3
-1 1 3 2
+ =
1 2 -2 1
2 1 -1 1
* =
-1 0 0 3
-1 1 3 2
* =
1 2 -2 1
0 1 0 1
\/ =
1 0 1 1
0 1 0 1
/\ =
1 0 1 1
0 1 0 1
. =
1 0 1 1
1 0 1 1 0 -1
2 -1 1 + 0 1 2 =
-2 1 0 3 0 1
-1 0 1 1 0 -1
2 -1 1 + 0 3 2 =
-2 1 1 2 0 1
1 0 1 1 0 0
2 -1 1 * 0 1 0 =
-2 1 0 0 0 1
1 0 1 1 0 -1
2 0 1 * 0 1 2 =
1 1 0 3 0 1
1 0 1 1 0 1
1 1 0 . 0 1 1 =
1 0 0 1 0 1
For each of the following matrices that has an inverse give its inverse.
2 1
-1 0
2 -4
-1 2
-1 1
1 2