Area of a Triangle.doc
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This document provides the solution to a matrix problem. It involves a 3x3 matrix with entries (1,1,1), (2,3,4), (3,0,1). Several steps of algebraic manipulations are shown to solve for the values of i, j, k, and expressions for X in terms of i, j, k. The final values obtained are i=1, j=3, k=10.
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Area of a Triangle.doc
- 1. 1 (MMP) Problem No. 21 Solution
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- 4. 4 1 2 3 1 2 2 3 (1,1,1), (2,3,4), (3,0, 1) (2 1) (3 1) (4 1) 2 3 (3 2) (0 3) ( 1 4) 3 5 P P P i J k i j k i J k i j k P P P P
- 5. 5 1 2 2 3 2 3 4 , 1 2 3 1 3 5 ( 1) ( 10 9) ( 1) ( 5 3) ( 1) ( 3 2) 8 5 Now i j k X i X j X k X i j k P P P P
- 6. 6 1 2 2 3 8 5 1 64 25 90 3 10 1 3 3 10 10 2 2 and X i j k A X P P P P