Q25 of 98 Page 314

If A is an invertible square matrix then │A^-1│=?

We know that AA^-1 =

Taking determinant both sides

│AA^-1│ = │I│

│A││A^-1│ = │I│ (│AB│=│A││B│)

│A││A^-1│ = 1 (│I│ = 1)

│A^-1│=

For any two matrices A and B,

If A =then A=?

If A and B are invertible matrices of the same order then (AB)^-1=?

If A and B are two nonzero square matrices of the same order such that AB=0 then

If A is an invertible square matrix then │A-1│=?