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Checking consistency of equations
Checking consistency of equations
Last updated at Dec. 23, 2021 by Teachoo
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 [β 8(1&2@2&3)] [β 8(π₯@π¦)] = [β 8(2@3)] Hence A = [β 8(1&2@2&3)], X = [β 8(π₯@π¦)] & B = [β 8(2@3)] Step 2 Calculate |A| |A| = |β 8(1&2@2&3)| = 3 Γ 1 β 2 Γ 2 = 3 β 4 = β1 β 0 Since |A| β 0 the system of equations is consistent