Explanation Given Information: The provided table is shown below: Type Air Water Grey matter Tumor Blood Bone Absorption 0 1000 1020 1030 1050 2000 The provided X -ray diagram is shown below: Formula Used: Elementary row operations Type 1: Replacing the row R i by a R i , where a is a nonzero number. Type 2: Replacing the row R i by a R i ± b R j , where a is a nonzero number. Gauss Jordan reduction method: Step 1: First clear the fractions or decimals if any, using operations of type 1. Step 2: Select the first nonzero element of the first row as pivot. Step 3: Use the pivot to clear its column using operations of type 2. Step 4: Select the first nonzero element in the second row a pivot and clear its column. Step 5: Turn all the selected pivot elements into a 1 using operations of type 1. Calculation: Consider the provide table is, Type Air Water Grey matter Tumor Blood Bone Absorption 0 1000 1020 1030 1050 2000 Consider the provided diagram is, The three beams pass through the same four square on the left let us label those squares y . the vertical beam also passes through other 2 squares which we can label as z and u . The X -ray can be shown as To determine the values of each compositions equations can be formed by adding the values along each beams. Add the values along each beam. x + z + u = 3080 And y + z = 6130 Also, x + y = 6110 And y + u = 6080 The augmented matrix for the given system of equations: [ 1 0 1 1 3080 0 1 1 0 6130 1 1 0 0 6110 0 1 0 1 6080 ] Apply Gauss Jordan reduction method to get the solution of the given system of equation. Pivot the first nonzero element of the first row and clear its column. Perform the operations R 3 → R 3 − R 1 . [ 1 0 1 1 3080 0 1 1 0 6130 1 1 0 0 6110 0 1 0 1 6080 ] → [ 1 0 1 1 3080 0 1 1 0 6130 0 1 − 1 − 1 3030 0 1 0 1 6080 ] Pivot the first nonzero element of the second row and clear its column. Perform the operations R 4 → R 4 − R 2 , R 3 → R 3 − R 2 . [ 1 0 1 1 3080 0 1 1 0 6130 0 1 − 1 − 1 3030 0 1 0 1 6080 ] → [ 1 0 1 1 3080 0 1 1 0 6130 0 0 − 2 − 1 − 3100 0 0 − 1 1 − 50 ] Next pivot the first nonzero element of the third row and clear its column

7th Edition

ISBN: 8220103612005

Author: Costenoble

Publisher: CENGAGE L

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Chapter 4.3, Problem 43E

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To calculate: The composition of marked by a letters x with the help of provided diagram and table.

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The composition of marked by a letters x with the help of provided diagram and table.

Solution Summary: The author explains how to calculate the composition of a tumor with the help of provided diagram and table.

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To calculate: The composition of marked by a letters x with the help of provided diagram and table.

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