Hi does anyone know how to solve this problem???
Let A and B be square matrices of order 2 such that
A-1 = 1 2 and (AB)−1= −2 3
-1 3 3 −4
Stacey Warren - Expert brainly.com
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yes i mean the inverse @ daramda
Corec pointed you in the right direction, use that equation to set up another system of equations and solve for the inverse of matrix B. Then find the inverse of the inverse of matrix B which is the solution.
As long as I understand the question correctly (both A and B are square matrices):
B=[(10/29), (-7/29); (25/29), (-3/29)}
THAT ARE THE VALUE OF B .
thank you all for your help! havent gotten around to doing it yet but will let you know if I get it. :-)
[10, 7; 5,3] is correct. I ran the math again on my solution, and it assigns [-2, 3; -7, -4] to (AB)^-1, so it looks like I failed at simple arithmetic. Nice catch corec ; )