Check sibling questions

  Slide19.JPG

Slide20.JPG
Slide21.JPG Slide22.JPG

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Ex 4.5, 7 Solve system of linear equations, using matrix method. 5x+ 2y = 4 7x + 3y = 5 The system of equations is 5x + 2y = 4 7x + 3y = 5 Writing equation as AX = B [โ– 8(5&2@7&3)] [โ– 8(๐‘ฅ@๐‘ฆ)] = [โ– 8(4@5)] Hence A = [โ– 8(5&2@7&3)], X = [โ– 8(๐‘ฅ@๐‘ฆ)] & B = [โ– 8(4@5)] Calculating |A| |A| = |โ– 8(5&2@7&3)| = 5(3) โ€“ 7(2) = 15 โ€“ 14 = 1 โ‰  0 Since |A|โ‰  0, System of equations is consistent & has a unique solution Now, AX = B Solution is X = A-1 B Calculating Aโˆ’1 A-1 = 1/(|A|) adj (A) A = [โ– 8(5&2@7&3)] adj A = [โ– 8(5&2@7&3)] = [โ– 8(3&โˆ’2@โˆ’7&5)] Now, A-1 = 1/(|A|) adj A Putting values = 1/1 [โ– 8(3&โˆ’2@โˆ’7&5)] = [โ– 8(3&โˆ’2@โˆ’7&5)] Now X = A-1 B [โ– 8(๐‘ฅ@๐‘ฆ)] = [โ– 8(3&โˆ’2@โˆ’7&5)] [โ– 8(4@5)] [โ– 8(๐‘ฅ@๐‘ฆ)] = [โ– 8(3(4)+(โคถ7โˆ’2)5@โˆ’7(4)+5(5))] [โ– 8(๐‘ฅ@๐‘ฆ)] = [โ– 8(2@โˆ’3)] Hence, x = 2 & y = โ€“3

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.