Explanation Given: The matrix is, [ 4 5 3 − 6 ] Approach: Follow the below mentioned statement to find the minors of the given matrix. If A is a square matrix, then the minor M i j of the entry a i j is the determinant of the matrix obtained by deleting the i th row and j th column. The method to find the determinant of a square matrices of dimension n × n is as follows, If A is a square matrix (of dimension 2 × 2 or greater), then the determinant of A is the sum of the entries in any row (or column) of A multiplied by their respective cofactors. For example, expanding along the first row yields: | A | = a 11 C 11 + a 12 C 12 + ⋯ + a 1 n C 1 n Calculation: Consider the given matrix, A = [ 4 5 3 − 6 ] To find the minor M 11 , delete the first row and the first column of A and find the resulting matrix. M 11 = | − 6 | = − 6 Similarly, to find the M 12 , delete the first row and second column To determine (b) To find: All the cofactors of the given matrix [ 4 5 3 − 6 ] .

Bundle: Precalculus, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Precalculus, 10th Edition, Single-Term

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ISBN: 9781337605090

Author: Ron Larson

Publisher: Cengage Learning

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Chapter 8.4, Problem 29E

To determine

(a)

To find:

All the minors of the given matrix [453−6].

To determine

(b)

To find:

All the cofactors of the given matrix [453−6].

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Chapter 8.4, Problem 28E

Chapter 8.4, Problem 30E

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Chapter 8 Solutions

Bundle: Precalculus, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's Precalculus, 10th Edition, Single-Term

Ch. 8.1 - Prob. 1CP Ch. 8.1 - Prob. 2CP Ch. 8.1 - Prob. 3CP Ch. 8.1 - Prob. 4CP Ch. 8.1 - Prob. 5CP Ch. 8.1 - Prob. 6CP Ch. 8.1 - Prob. 7CP Ch. 8.1 - Prob. 8CP Ch. 8.1 - Prob. 9CP Ch. 8.1 - Prob. 1E

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(a) To find: All the minors of the given matrix [ 4 5 3 − 6 ] .

Solution Summary: The author explains how to find the minors of the given matrix. If A is a square matrix, the determinant of it is the sum of entries in any row (or column).

Videos

(a)

To find:

All the minors of the given matrix [453−6].

(b)

To find:

All the cofactors of the given matrix [453−6].

Want to see the full answer?

Chapter 8 Solutions

(a) To find: All the minors of the given matrix [ 4 5 3 − 6 ] .

Solution Summary: The author explains how to find the minors of the given matrix. If A is a square matrix, the determinant of it is the sum of entries in any row (or column).

Videos

(a) To find: All the minors of the given matrix [453−6].

(b) To find: All the cofactors of the given matrix [453−6].

Want to see the full answer?

Chapter 8 Solutions

(a)

To find:

All the minors of the given matrix [453−6].

(b)

To find:

All the cofactors of the given matrix [453−6].