Question

1). Show that if AB = I (where I is the identity matrix) then A is...

1). Show that if AB = I (where I is the identity matrix) then A is non-singular and B is non-singular (both A and B are nxn matrices)


2). Given that det(A) = 3 and det(B) = 2, Evaluate (numerical answer) each of the following or state that it’s not possible to determine the value.

a) det(A^2)
b) det(A’) (transpose determinant)
c) det(A+B)
d) det(A^-1) (inverse determinant)
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