Let I = $ \begin{pmatrix} 1 & 0 \ 0 & 1 \end{pmatrix} $, P = $ \begin{pmatrix} 2 & 3 \ 4 & 5 \end{pmatrix} $, Q = $ \begin{pmatrix} u & 4+u \ -2v & v \end{pmatrix} $

be 2 x 2 matrices such that PQ = I. Find (u, v).

Question

Let  I = $ \begin{pmatrix} 1 & 0 \ 0 & 1 \end{pmatrix} $, P = $ \begin{pmatrix} 2 & 3 \ 4 & 5 \end{pmatrix} $, Q = $ \begin{pmatrix} u & 4+u \ -2v & v \end{pmatrix} $

be 2 x 2  matrices such that  PQ = I.  Find  (u, v).

Accepted Answer

$ \begin{pmatrix} -5 & 3/2 \ 2 & 2 \end{pmatrix} $

Utme 2022 Mathematics Question 4

Let I = \( \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \), P = \( \begin{pmatrix} 2 & 3 \\ 4 & 5 \end{pmatrix} \), Q = \( \begin{pmatrix} u & 4+u \\ -2v & v \end{pmatrix} \) be 2 x 2 matrices such that PQ = I. Find (u, v).

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