Ex 4.6, 9 - Solve using matrix method 4x-3y=3 3x+5y=7 - Find solution of equations- Equations given

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  1. Chapter 4 Class 12 Determinants
  2. Serial order wise
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Ex 4.6, 9 Step 2 Calculate |A| |A| = 4 3 3 5 = 4( 5) 3 ( 3) = 20 + 9 = 11 |A| 0 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 = 1 11 5 3 3 4 3 7 = 1 11 5 3 + 3 7 3 3 + 4 7 = 1 11 15 21 9 28 = 6 11 19 11 Hence x = & y =

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