Ex 4.6, 10 - Solve using matrix method 5x+2y=3 3x+2y=5 - Find solution of equations- Equations given

Slide32.JPG
Slide33.JPG Slide34.JPG

  1. Chapter 4 Class 12 Determinants
  2. Serial order wise
Ask Download

Transcript

Ex 4.6, 10 Step 2 Calculate |A| |A| = 5﷮2﷮3﷮2﷯﷯ = 5(2) – 3(2) = 10 – 6 = 4 Since |A| ≠ 0 The System of equation is consistent & has a unique solution Now, AX = B X = A-1 B Step 3 Calculate X = A-1 B A-1 = 1﷮|A|﷯ adj (A) A = 4﷮−3﷮3﷮−5﷯﷯ adj A = 4﷮−3﷮3﷮−5﷯﷯ = −5﷮3﷮−3﷮4﷯﷯ Now, A-1 = 1﷮|A|﷯ adj A A-1 = 1﷮11﷯ −5﷮3﷮−3﷮4﷯﷯ Thus, X = A-1 B 𝑥﷮𝑦﷯﷯ = 1﷮4﷯ 2﷮−2﷮−3﷮5﷯﷯ 3﷮5﷯﷯ = 1﷮4﷯ 2 3﷯+ −2﷯5﷮−3 3﷯+5 (5)﷯﷯ 𝑥﷮𝑦﷯﷯ = 1﷮4﷯ 6−10﷮−9+25﷯﷯ = 1﷮4﷯ −4﷮16﷯﷯ 𝑥﷮𝑦﷯﷯ = −1﷮4﷯﷯ Hence x = –1 & y = 4

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.