Explanation Given Information: The system of equation 3 x + y − 2 z = − 3 2 z + 7 y + 3 z = 9 4 x − 3 y − z = 7 Calculation: Consider the given system of equation 3 x + y − 2 z = − 3 2 z + 7 y + 3 z = 9 4 x − 3 y − z = 7 Therefore in matrix form the system of equation can be written as below: A X = b Where A = [ 3 1 − 2 2 7 3 4 − 3 − 1 ] ; b = [ − 3 9 7 ] ; X = [ x y z ] Therefore, the solution of the system of equation is given by: X = A − 1 b Therefore, using Cramer’s rule the solution of the system of the equation is x = | A x | | A | , y = | A y | | A | , z = | A z | | A | Where A x = [ − 3 1 − 2 9 7 3 7 − 3 − 1 ] , A y = [ 3 − 3 − 2 2 9 3 4 7 − 1 ] , A z = [ 3 1 − 3 2 7 9 4 − 3 7 ] Consider the determinant of the matrix | A | = | 3 1

6th Edition

ISBN: 9780134469140

Author: Robert F. Blitzer

Publisher: PEARSON

See similar textbooks

Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Videos

Question

Chapter 8, Problem 10T

To determine

To calculate: The value of x for the provided system of equation 3x+y−2z=−3,2z+7y+3z=9,4x−3y−z=7 using Cramer’s Rule

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 8, Problem 9T

Chapter 8, Problem 1CRE

Students have asked these similar questions

Here is a region R in Quadrant I. y 2.0 T 1.5 1.0 0.5 0.0 + 55 0.0 0.5 1.0 1.5 2.0 X It is bounded by y = x¹/3, y = 1, and x = 0. We want to evaluate this double integral. ONLY ONE order of integration will work. Good luck! The dA =???

43–46. Directions of change Consider the following functions f and points P. Sketch the xy-plane showing P and the level curve through P. Indicate (as in Figure 15.52) the directions of maximum increase, maximum decrease, and no change for f. ■ 45. f(x, y) = x² + xy + y² + 7; P(−3, 3)

EX-let d'be ametric on a vector space X induced from a norm hx and d defind by a Slab)= {od (a, if a = b (a,b)+is ab Show that cannot be induced froman norm on X. 2) let à be trivel metric show that I cannot be induced from an norm on X- 3) let M be closed subspace of anormed spacex Construct the space X/Mas a normed space. 4) let Mix be vector space of 2x3 matrices on R write with Prove convex set and hyper Plane of M 5) show that every a finite dimension subspace of anormed space is closed.

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...

Knowledge Booster

$Calculus$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

The value of x for the provided system of equation 3 x + y − 2 z = − 3 , 2 z + 7 y + 3 z = 9 , 4 x − 3 y − z = 7 using Cramer’s Rule

Solution Summary: The author calculates the value of x for the provided system of equation c3x+y-2z=-3,2z+7y+3z =9,4x

Concept explainers

Videos

To calculate: The value of x for the provided system of equation 3x+y−2z=−3,2z+7y+3z=9,4x−3y−z=7 using Cramer’s Rule

Want to see the full answer?

Chapter 8 Solutions