Question

Find B such that B^3=A

B and A are matrices, just tell me what to do?

Answer 1

wait you are cubing the matrix B?

Answer 2

finding B , which if you cube it , you will get a known matrix A

Answer 3

Hmm weird never encountered matrix cubing but anyways this is just matrix multiplication of 3 unknown matrices that are row equivalent

Answer 4

B*B*B=A

Answer 5

I would set a generic matrix and set it up with unkowns and carry out matrix multiplication. See if anything familiar pops out or you can distribute something out

Answer 6

alright, I will try it, thanks

Answer 7

Well I tried squaring two 2x2 matrix

a b
c d

and I found out that the outcome of matrix multiplication gave me a = d

Answer 8

@imranmeah91 identity matrix can also be your solution!!
\[\left[\begin{matrix}1 & 0 \\ 0 & 1\end{matrix}\right]\]

Answer 9

Ofcfourse lol Identity

Answer 10

Will that be the only solution? Or is there another way to solve for B for another solution?

Answer 11

I think with just this info, we can only have identity matrix as a solution.

Answer 12

nvm