For the matrix B= pmatrix 1 & 2 & 3 0 & 1 & 4 5 & 6 & 0 pmatrix

MATHEMATICS · Multi-part · CBSE · Mathematics · Determinants · Determinants

Problem

For the matrix

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

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

B

. (ii) Obtain the adjugate of

B

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

B^{-1}

. (iv) Verify your answer by showing that

BB^{-1}=I_3