### Video Transcript

If π΄ is a matrix, which of the
following is equal to π΄ inverse transpose?

Recall that this notation means the
transpose of a matrix. This just means we switch the rows
with the columns. For example, if we have the matrix
π equals two, one, six, seven, π transpose is equal to two, six, one, seven. To answer this question, we recall
the property of the matrix inverse. That is, π΄ transposed inverse is
equal to π΄ inverse transposed. And this gives us that our answer
is the first option. π΄ inverse transposed is equal to
π΄ transposed inverse. So what weβre saying is that if we
take the matrix π΄, find its inverse, and then transpose it, this is exactly the
same result we would get by taking the matrix π΄, transposing it, and then finding
the inverse.