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3. 1 in order to row reduce the 2x2 matrix a...

# 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 (AAT= I), then det(A)=1

c)   ACT=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