Ex 4.6, 1 - Chapter 4 Class 12 Determinants

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Ex 4.6, 1 Examine the consistency of the system of equations. x + 2y = 2 2x + 3y = 3 x + 2y = 2 2x + 3y = 3 Step 1 Write equation AX = B 1 2 2 3 = 2 3 Hence A = 1 2 2 3 , X = & B = 2 3 Step 2 Calculate |A| |A| = 1 2 2 3 = 3 1 2 2 = 3 4 = 1 0 Since |A| 0 the system of equations is consistent