Explanation Given Information: The matrix is [ 2 2 4 8 1 − 1 2 2 − 1 5 − 2 2 ] . Calculation: Consider that matrix A = [ 2 2 4 8 1 − 1 2 2 − 1 5 − 2 2 ] . Now, compute the row reduce of the matrix A using the TI- 83 graphing calculator as follows: Step1. Press “2nd” key and then press x − 1 key, a window will appear consisting of three options. Step2. Now, go to the “EDIT” option and press “ENTER” key. Step3. Insert the order of the matrix, which is 3 × 4 followed by inserting the entries of the matrix. Press “ENTER” key every time an entry is inserted. Step4. Now, press “2nd” key followed by pressing “MODE” key to clear the window. Step5. Again, press “2nd” key and then press x − 1 key, go to “MATH” option. Step6. Now, go to its sub-option “ B:rref ( ” and press “ENTER” key. Step7. Press “2nd” then x − 1 key followed by pressing “ENTER” key and insert “)” sign and press “ENTER” key. A window will appear showing the result as, [ 1 0 2 3 0 1 0 1 0 0 0 0 ] Now, compute the row reduced form of the augmented matrix [ 2 2 4 8 1 − 1 2 2 − 1 5 − 2 2 ] using the Gauss-Jorden method as follows: Pivot the matrix about the boxed element. Transform 2 into 1 by multiplying row 2 by 1 2 . Transform 1 into 0 by multiplying row 1 by − 1 and adding the result to row 2 . Transform − 1 into 0 by multiplying row 1 by 1 and adding the result to row 3

Finite Mathematics & Its Applications (12th Edition)

12th Edition

ISBN: 9780134437767

Author: Larry J. Goldstein, David I. Schneider, Martha J. Siegel, Steven Hair

Publisher: PEARSON

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‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements ar…

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Chapter 2.2, Problem 58E

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To calculate: The row reduced echelon form of the matrix [22481−122−15−22] using graphing calculator. Also, compare it with the answer derived using the Gauss-Jorden method.

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Chapter 2.2, Problem 57E

Chapter 2.3, Problem 1CYU

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Finite Mathematics & Its Applications (12th Edition)

Ch. 2.1 - 1. Determine whether the following systems of...Ch. 2.1 - Give the meaning of each of the following...Ch. 2.1 - 3. Perform the indicated elementary row...Ch. 2.1 - State the next elementary row operation that...Ch. 2.1 - In Exercises 1–8, perform the indicated elementary...Ch. 2.1 - Prob. 2E Ch. 2.1 - In Exercises 1–8, perform the indicated elementary...Ch. 2.1 - In Exercises 1–8, perform the indicated elementary...Ch. 2.1 - In Exercises 18, perform the indicated elementary...Ch. 2.1 - In Exercises 18, perform the indicated elementary...

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The row reduced echelon form of the matrix [ 2 2 4 8 1 − 1 2 2 − 1 5 − 2 2 ] using graphing calculator. Also, compare it with the answer derived using the Gauss-Jorden method.

Solution Summary: The author calculates the reduced echelon form of the matrix using the graphing calculator and compares it with the answer derived using Gauss-Jorden method.

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To calculate: The row reduced echelon form of the matrix [22481−122−15−22] using graphing calculator. Also, compare it with the answer derived using the Gauss-Jorden method.

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Chapter 2 Solutions