\[ \text {if} A=\begin{bmatrix} 1 &2 &-2 \\-1 &3 &0 \\0 &-2 &1 \end{bmatrix} \] then find two non-singular matrices P&Q such that PAQ is in normal form also find ρ(A) and A-1.

414views

$\text {if} A=\begin{bmatrix} 1 &2 &-2 \\-1 &3 &0 \\0 &-2 &1 \end{bmatrix}$ then find two non-singular matrices P&Q such that PAQ is in normal form also find ρ(A) and A-1.

written 3.9 years ago by

teamques10 ★ 69k

• modified 3.9 years ago

need-tagging

ADD COMMENT EDIT

1views

written 3.9 years ago by

teamques10 ★ 69k

$A= \begin{bmatrix} 1 & 2 & -2 \\ -1 & 3 & 0 \\ 0 & -2 & 1 \\ \end{bmatrix} \\ A= I_3AI_3 \; i.e. \\ \begin{bmatrix} 1 & 2 & -2 \\ -1 & 3 & 0 \\ 0 & -2 & 1 \\ \end{bmatrix} = \begin{bmatrix} 1 …

Create a free account to keep reading this post.

and 4 others joined a min ago.

ADD COMMENT EDIT

Please log in to add an answer.