Explanation Given Information: Matrix A = [ − 3 − 7 2 − 9 5 0 ] and B = [ − 5 − 1 0 0 3 − 4 ] Formula used: Let A = [ a i j ] and B = [ b i j ] be matrices of order m × n and c 1 , c 2 are Scalar, then matrix addition is m × n matrix given by c 1 A + c 2 B = [ c 1 a i j + c 2 b i j ] Calculation: Consider the matrix equation, 2 X + A = B . This implies that, 2 X = B − A or X = B − A 2

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ISBN: 9780134469140

Author: Robert F. Blitzer

Publisher: PEARSON

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Chapter 8.3, Problem 19PE

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To calculate: The value for X that satisfies the matrix equation 2X+A=B where Matrix A=[−3−72−950] and B=[−5−1003−4].

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Chapter 8.3, Problem 18PE

Chapter 8.3, Problem 20PE

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Question 1: If a barometer were built using oil (p = 0.92 g/cm³) instead of mercury (p = 13.6 g/cm³), would the column of oil be higher than, lower than, or the same as the column of mercury at 1.00 atm? If the level is different, by what factor? Explain. (5 pts) Solution: A barometer works based on the principle that the pressure exerted by the liquid column balances atmospheric pressure. The pressure is given by: P = pgh Since the atmospheric pressure remains constant (P = 1.00 atm), the height of the liquid column is inversely proportional to its density: Step 1: Given Data PHg hol=hgx Poil • Density of mercury: PHg = 13.6 g/cm³ Density of oil: Poil = 0.92 g/cm³ • Standard height of mercury at 1.00 atm: hμg Step 2: Compute Height of Oil = 760 mm = 0.760 m 13.6 hoil = 0.760 x 0.92 hoil = 0.760 × 14.78 hoil = 11.23 m Step 3: Compare Heights Since oil is less dense than mercury, the column of oil must be much taller than that of mercury. The factor by which it is taller is: Final…

Chapter 8 Solutions

Precalculus (6th Edition)

Ch. 8.1 - Check Point 1 Write the augmented matrix for the...Ch. 8.1 - Check Point 2 Use the matrix ...Ch. 8.1 - Check Point 3 Use matrices to solve the system:...Ch. 8.1 - Check Point 4 Use matrices to solve the system:...Ch. 8.1 - Check Point 5 Solve the system in Check Point. 3...Ch. 8.1 - Prob. 1CVC Ch. 8.1 - Fill in each blank so that the resulting statement...Ch. 8.1 - Prob. 3CVC Ch. 8.1 - Prob. 4CVC Ch. 8.1 - Fill in each blank so that the resulting statement...

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The value for X that satisfies the matrix equation 2 X + A = B where Matrix A = [ − 3 − 7 2 − 9 5 0 ] and B = [ − 5 − 1 0 0 3 − 4 ] .

Solution Summary: The author explains how to calculate the value for X that satisfies the matrix equation 2X+A=B.

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To calculate: The value for X that satisfies the matrix equation 2X+A=B where Matrix A=[−3−72−950] and B=[−5−1003−4].

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Chapter 8 Solutions