Find the general solution for the determinant of a 3x3 martix. When does the inverse of this matrix not exist?

Let M be a 3x3 matrix s.t. M= |a b c| |g h i| |d e f|

Then Det(M)= a(Det(e,f,h,i))-b(Det(d,f,g,i))+c(Det(d,e,g,h).

Given that the determinant of a 2x2 matrix such as (e,f,h,i) is = ei-fh. The solution is; Det(M)=a(ei-fh)-b(di-fg)+c(dh-eg).

Since the inverse of a matrix, M^-1 = 1/Det(M) * Adj(M), the inverse does not exist when Det(M)=0.

OD
Answered by Oskar D. Further Mathematics tutor

4200 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

A particle is projected from the top of a cliff, 20m above the sea level at an angle of 30 degrees above the horizontal at 20m/s. At what vertical speed does it hit the water?


Differentiate artanh(x) with respect to x


When and how do I use proof by induction?


When using the method of partial fractions how do you choose what type of numerator to use and how do you know how many partial fractions there are?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences