# Question: 1 in order to row reduce the 2x2 matrix a...

###### Question details

1. In order to row reduce the 2x2 matrix A all the way to the identity matrix we had to perform the following elementary row operations:

-subtract row2 from row1

-multiply row1 by -1

-subtract 3*row1 from row2

-multiply row2 by -1

-subtract 2*row2 from row1

Find A.

2. Let A and B be two invertible matrices. Which of the following statement is FALSE?

a) (AB)^{-1} = B^{-1} A^{-1}

b) If A is orthogonal (AA^{T}= I), then
det(A)=1

c) AC^{T}=det(A)I (where C
is the cofactor matrix of A)

d) det(A)det(A^{−1}) = 1

For #2, the answers a and c were already tried and found to be incorrect