SOLUTION: Using Matrices A and B, perform the following operation. a) A/B b) A+B c) A-B d) A*B ..........1.....2.....3.....4 ..........4.....3.....2.....1 A = ..2.....1.....4.....

Algebra ->  Matrices-and-determiminant -> SOLUTION: Using Matrices A and B, perform the following operation. a) A/B b) A+B c) A-B d) A*B ..........1.....2.....3.....4 ..........4.....3.....2.....1 A = ..2.....1.....4.....      Log On


   

Question 1121872: Using Matrices A and B, perform the following operation.
a) A/B
b) A+B
c) A-B
d) A*B
..........1.....2.....3.....4
..........4.....3.....2.....1
A = ..2.....1.....4.....3
.........3.....4.....1.....2

..........8.....9.....2.....4
..........-7.....6.....-1.....3
B = ..3.....4.....0.....0
.........1.....-2.....0.....0
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Using Matrices A and B, perform the following operation.
a) A/B
This is A times the inverse of B
Find the inverse of B, then multiply by A
----
|13/10    -2/5    -317/100    -260/100|
| 7/10    -3/5    -113/100    -241/100|
| 3/2      -1      -81/20      -97/30 |
| 1/2       0       -1/4        -1/4  |

Using the site:
https://www.dcode.fr/matrix-division
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b, c & d are much simpler
b) A+B
c) A-B
d) A*B
..........1.....2.....3.....4
..........4.....3.....2.....1
A = ..2.....1.....4.....3
.........3.....4.....1.....2

..........8.....9.....2.....4
..........-7.....6.....-1.....3
B = ..3.....4.....0.....0
.........1.....-2.....0.....0