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Question 985526: This question was quite difficult to type up so forgive me if it seems confusing, and I only put the multiple periods in between the letters and underneath the numbers so the matrices would be whole and not in pieces.
Given matrices:
A: [3]
B:[2 9]
C: [2 4 -3
....-2 3 0]
D: [ 3 2
......3 2
......3 2]
E: [-8 -2
......0 0]
F: [ 2 3 4 5 6 7 9]
G:
[3
2
1
0
9
8
7]
Which matrices can be multiplied by A on the right?
Thank you kindly in advanced for your help and time.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! This question was quite difficult to type up so forgive me if it seems confusing, and I only put the multiple periods in between the letters and underneath the numbers so the matrices would be whole and not in pieces.
Given matrices:
A: [3]
dimension is 1 by 1
---------------------
B:[2 9]
dimension is 1 by 2
----------------------
C: [2 4 -3
....-2 3 0]
dimension is 2 by 3
--------------------------
D: [ 3 2
......3 2
......3 2]
dimension is 3 by 2
-------------------------
E: [-8 -2
......0 0]
dimension is 2 by 2
------------------------------
F: [ 2 3 4 5 6 7 9]
dimension is 1 by 7
-------------------------
G:
[3
2
1
0
9
8
7]
dimension is 7 by 1
-----------------------------
Since G is 7by1 and A is 1by1 G can be multiplied on the right side by A
Note:: The "inner" dimensions must be the same.
The product matrix will be 7by1 which are the outer dimentions of G*A
--------------
Cheers,
Stan H.
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