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Unformatted text preview: written as . simplifies to x( b 1 b 2 ) – y( a 1 – a 2 ) + a 1 b 2 – b 1 a 2 = 0. Separating the variables leads to x ( b 1 b 2 ) + a 1 b 2 – b 1 a 2 = y ( a 1 – a 2 ) x ( b 1 b 2 ) + a 1 b 2 = y ( a 1 – a 2 ) + b 1 a 2 add b 1 a 2 to both sides x ( b 1 b 2 ) + a 1 b 2 b 1 a 1 = y ( a 1 – a 2 ) + b 1 a 2 b 1 a 1 subtract b 1 a 1 from both sides x ( b 1 b 2 ) – a 1 (b 1 – b 2 ) = y ( a 1 – a 2 ) – b 1 (a 1 a 2 ) factor (x – a 1 ) ( b 1 b 2 ) = ( y – b 1 ) ( a 1 – a 2 ) factor divide both sides by ( a 1 – a 2 ) Alternately, you can substitute the equation of the line into the determinant and simplify as follows:...
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 Spring '11
 Burns
 Linear Algebra, Determinant, Negative and nonnegative numbers, Invertible matrix, Det

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