Mathematics

Problem

For the matrix

B=\begin{pmatrix}1 & 2 & 3\\ 0 & 1 & 4\\ 5 & 6 & 0\end{pmatrix},

carry out the following tasks: a. (i) Compute the cofactor matrix of

B

. b. (ii) Obtain the adjugate of

B

from your result in part (i). c. (iii) Find

B^{-1}

. d. (iv) Verify your answer by showing that

BB^{-1}=I_3