Explanation Calculation: The given matrix A = [ 2 − 1 3 1 4 1 3 − 1 6 2 4 1 2 2 0 − 2 ] We have to find the minor matrix M 31 The minor matrix M 31 is obtained from A by removing third row and first column from A . Therefore, M 31 = [ − 1 3 1 1 3 − 1 2 0 − 2 ] Now we have to find the cofactor A i j = ( − 1 ) i + j det ( M i j ) where M i j is the minor matrix. A 31 = ( − 1 ) 3 + 1 det ( M 31 ) = ( − 1 ) 4 | − 1 3 1 1 3 − 1 2 0 − 2 | = − 1 | 3 − 1 0 − 2 | − 3 | 1 − 1 2 − 2 | + ( 1

Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)

5th Edition

ISBN: 9780134689531

Author: Lee Johnson, Dean Riess, Jimmy Arnold

Publisher: PEARSON

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Chapter 4.2, Problem 3E

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The minor matrix M31 and cofactor Aij=(−1)i+jdet(Mij) for matrix A.

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Chapter 4.2, Problem 2E

Chapter 4.2, Problem 4E

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Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)

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The minor matrix M 31 and cofactor A i j = ( − 1 ) i + j det ( M i j ) for matrix A .

Solution Summary: The author explains how to calculate the minor matrix M_31 and the cofactor for matrix A.

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To calculate:

The minor matrix M31 and cofactor Aij=(−1)i+jdet(Mij) for matrix A.

Want to see the full answer?

Chapter 4 Solutions

The minor matrix M 31 and cofactor A i j = ( − 1 ) i + j det ( M i j ) for matrix A .

Solution Summary: The author explains how to calculate the minor matrix M_31 and the cofactor for matrix A.

Videos

To calculate: The minor matrix M31 and cofactor Aij=(−1)i+jdet(Mij) for matrix A.

Want to see the full answer?

Chapter 4 Solutions

To calculate:

The minor matrix M31 and cofactor Aij=(−1)i+jdet(Mij) for matrix A.