Explanation Approach: A system of the linear equation can be transformed into the augmented matrix, by writing only the coefficients and constants that appear in the equations. The missing variable in the equation corresponds to a 0 entry in the augmented matrix. Calculation: Consider the augmented matrix [ 1 2 3 − 1 7 0 1 − 2 0 5 0 0 1 2 5 0 0 0 1 3 ] . The leading variables are x , y , z , and w . The system of equations is x + 2 y + 3 z − w = 7 , y − 2 z = 5 , z + 2 w = 5 , and w = 3 To determine (b) To solve: The system of equations for the matrix [ 1 2 3 − 1 7 0 1 − 2 0 5 0 0 1 2 5 0 0 0 1 3 ] .

4th Edition

ISBN: 8220100548512

Author: Watson

Publisher: CENGAGE L

See similar textbooks

Videos

Question

Chapter 11.1, Problem 27E

To determine

(a)

To write:

The system of equations for the matrix [123−1701−2050012500013].

To determine

(b)

To solve:

The system of equations for the matrix [123−1701−2050012500013].

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.1, Problem 26E

Chapter 11.1, Problem 28E

Students have asked these similar questions

Solve for the matrix X: X (2 7³) x + ( 2 ) - (112) 6 14 8

5. Solve for the matrix X. (Hint: we can solve AX -1 = B whenever A is invertible) 2 3 0 Χ 2 = 3 1

Write p(x) = 6+11x+6x² as a linear combination of ƒ (x) = 2+x+4x² and g(x) = 1−x+3x² and h(x)=3+2x+5x²

Chapter 11 Solutions

EBK ALGEBRA AND TRIGONOMETRY

Ch. 11.1 - If a system of linear equations has infinitely...Ch. 11.1 - Write the augmented matrix of the following system...Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - 5-10 Dimension of a Matrix State the dimension of...Ch. 11.1 - Prob. 8E Ch. 11.1 - Prob. 9E Ch. 11.1 - Prob. 10E

Knowledge Booster

$Algebra$

Learn more about

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

(a) To write: The system of equations for the matrix [ 1 2 3 − 1 7 0 1 − 2 0 5 0 0 1 2 5 0 0 0 1 3 ] .

Solution Summary: The author explains how a linear equation can be transformed into the augmented matrix, by writing only the coefficients and constants that appear in the equations.

Videos

(a)

To write:

The system of equations for the matrix [123−1701−2050012500013].

(b)

To solve:

The system of equations for the matrix [123−1701−2050012500013].

Want to see the full answer?

Chapter 11 Solutions

(a) To write: The system of equations for the matrix [ 1 2 3 − 1 7 0 1 − 2 0 5 0 0 1 2 5 0 0 0 1 3 ] .

Solution Summary: The author explains how a linear equation can be transformed into the augmented matrix, by writing only the coefficients and constants that appear in the equations.

Videos

(a) To write: The system of equations for the matrix [123−1701−2050012500013].

(b) To solve: The system of equations for the matrix [123−1701−2050012500013].

Want to see the full answer?

Chapter 11 Solutions

(a)

To write:

The system of equations for the matrix [123−1701−2050012500013].

(b)

To solve:

The system of equations for the matrix [123−1701−2050012500013].