ErinWeeks
  • ErinWeeks
I have no idea how to do this! Find the products AB and BA to determine whether B is the multiplicative inverse of A.
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
ErinWeeks
  • ErinWeeks
A=|dw:1378877673103:dw|
ErinWeeks
  • ErinWeeks
B= |dw:1378877714728:dw|
ErinWeeks
  • ErinWeeks
@ganeshie8 ?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

ganeshie8
  • ganeshie8
if AB=BA = I, then we can say B is the multiplicative inverse of A
ganeshie8
  • ganeshie8
so, lets find AB, and BA and see if we get I
ErinWeeks
  • ErinWeeks
A. B = A-1 B. B ≠ A-1
ganeshie8
  • ganeshie8
|dw:1378877927065:dw|
ganeshie8
  • ganeshie8
multiply
ganeshie8
  • ganeshie8
|dw:1378878026284:dw|
ganeshie8
  • ganeshie8
take 2 of those column
ErinWeeks
  • ErinWeeks
5*2 = 10 3*2 = 6
ganeshie8
  • ganeshie8
|dw:1378878062576:dw|
ganeshie8
  • ganeshie8
|dw:1378878098822:dw|
ganeshie8
  • ganeshie8
take -3 of that column and ADD
ErinWeeks
  • ErinWeeks
3*-3 = -9 2*-3 = -6
ganeshie8
  • ganeshie8
|dw:1378878143043:dw|
ganeshie8
  • ganeshie8
|dw:1378878180841:dw|
ganeshie8
  • ganeshie8
add them 10 + -9 = 1 6 + -6 = 0
ErinWeeks
  • ErinWeeks
yep thats what i got
ganeshie8
  • ganeshie8
keep that aside. we have one more column waiting to be multiplied, lets do that first
ganeshie8
  • ganeshie8
|dw:1378878257736:dw|
ganeshie8
  • ganeshie8
take -3 of those column
ErinWeeks
  • ErinWeeks
okay now how do we do that
ganeshie8
  • ganeshie8
|dw:1378878293992:dw|
ganeshie8
  • ganeshie8
|dw:1378878337031:dw|
ganeshie8
  • ganeshie8
Now perform the ADDition
ganeshie8
  • ganeshie8
*ADDitionss :)
ErinWeeks
  • ErinWeeks
1 0 0 1
ganeshie8
  • ganeshie8
|dw:1378878423981:dw|
ganeshie8
  • ganeshie8
Yes ! we got an Identity matrix !!! so we have half hope that B can be multiplicative inverse of A
ganeshie8
  • ganeshie8
we just got AB = I
ErinWeeks
  • ErinWeeks
so it'd be A (:?
ganeshie8
  • ganeshie8
we still beed to do BA and, IF we get BA = I aswell, then we can conclude !
ganeshie8
  • ganeshie8
Find BA
ErinWeeks
  • ErinWeeks
okay how do we do that?
ErinWeeks
  • ErinWeeks
it would be 1?
ganeshie8
  • ganeshie8
|dw:1378878630624:dw|
ganeshie8
  • ganeshie8
Can you find BA, carry the exact same steps when we did AB
ErinWeeks
  • ErinWeeks
well first i got 10 & -15
ErinWeeks
  • ErinWeeks
second i got -9 & 15
ErinWeeks
  • ErinWeeks
now what?
ganeshie8
  • ganeshie8
perfect ! save it :) do it later Im sure u can do BA by now when u multiply BA, u wud get 1 0 0 1
ganeshie8
  • ganeshie8
so, BA also gives us identity ! that means A and B are inverses of eachother
ErinWeeks
  • ErinWeeks
alright than what im confused now
ganeshie8
  • ganeshie8
now, wat are the options we have ?
ErinWeeks
  • ErinWeeks
wouldnt it be 1*1 and 0*0"?
ganeshie8
  • ganeshie8
I am asking u to stop doing it for now :) i already did BA and got Identity matrix
ganeshie8
  • ganeshie8
please do it later ok :)
ErinWeeks
  • ErinWeeks
im confused im so sorry!
ganeshie8
  • ganeshie8
these are the only optiosn ? A. B = A-1 B. B ≠ A-1
ganeshie8
  • ganeshie8
B is incorrect
ErinWeeks
  • ErinWeeks
so well i think its a
ganeshie8
  • ganeshie8
yes A is correct ! but where are the other options ?
ErinWeeks
  • ErinWeeks
thats the only 2 options!! its just asking determine wheather B is the multiplicative inverse of A. So it has to be A.
ganeshie8
  • ganeshie8
Yep ! we should have stopped right after doing AB i got confused, i thought it is asking to do tell whether A is inverse of B aswell o.o
ErinWeeks
  • ErinWeeks
oh lol im sorry!
ganeshie8
  • ganeshie8
noo its okay :) good work ! i can see you're getting comfortable wid matrix multiplications so fast !!! actually these things confuse many ppl in the begining

Looking for something else?

Not the answer you are looking for? Search for more explanations.