(−2123) ( − 2 1 2 3 ) + (pqrs) ( p q r s ) = (1001) ( 1 0 0 1 ) . What is the value of r?

Question 1 Report

$(\begin{matrix} - 2 & 1 \\ 2 & 3 \end{matrix})$ + $(\begin{matrix} p & q \\ r & s \end{matrix})$ = $(\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix})$ . What is the value of r?

-

\frac{1}{8}

\frac{3}{8}

\frac{5}{8}

\frac{1}{4}

Answer Details

-2p + r = 1.......(i)
2p + 3r = 0.......(ii)
r - 1 + 2p ........(iii)
2p + 3(1 + 2p) = 0
2p + 3(1 + 2p) = 0
2p + 3 + 6p = 0
3 - 8p = 0 $\to$ 8p = 3
p = $\frac{3}{8}$
6 = 1 - 2 $\frac{3}{8}$
= 1 - $\frac{6}{8}$
$\frac{8 - 6}{8}$ = $\frac{2}{8}$
= $\frac{1}{4}$

View Answer

Download The App On Google Playstore

Everything you need to excel in JAMB, WAEC & NECO

Personalized AI Learning Chat Assistant

Thousands of JAMB, WAEC & NECO Past Questions

Over 1200 Lesson Notes

Offline Support - Learn Anytime, Anywhere

Green Bridge Timetable

Literature Summaries & Potential Questions

Track Your Performance & Progress

In-depth Explanations for Comprehensive Learning