Use back - substitution to solve the triangular system. {image}

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Presentation transcript:

Use back - substitution to solve the triangular system. {image} ( 5, 3, 2 ) ( 2, 5, 2 ) ( 5, - 3, 0 ) ( - 5, 3, 2 ) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the complete solution of the linear system. {image} ( 3, 2, 1 ) ( 3, - 2, 1 ) ( - 3, 1, 2 ) ( 2, 2, - 1 ) The system is inconsistent 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the complete solution of the linear system. {image} ( 1 - 2t, 3t, t ) ( 1 + 3t, 2t, t ) ( 2t - 3, t + 2, t ) ( 0, 3, 2 ) The system is inconsistent 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

Find the quadratic polynomial y = ax 2 + bx + c whose graph passes through the given points. ( - 2, 5 ), ( -1, 2 ), ( 1, 8 ) {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50