Explanation Given information: The matrix A is [ 3 4 7 9 ] . Definition used: Inverse of a 2 × 2 matrix: If A = [ a b d c ] then, A − 1 = 1 a c − b d [ c − b − d a ] If a c − b d = 0 , then A has no inverse. Calculation: The matrix A is [ 3 4 7 9 ] . Compare the given matrix A with the standard matrix A = [ a b d c ] to obtain the values of a , b , c and d as, a = 3 b = 4 c = 9 d = 7 To check if the inverse exists, obtain a c − b d as, a c − b d = ( 3 ) ⋅ 9 − ( 4 ) ⋅ 7 = 27 − 28 = − 1 Since, a c − b d is non-zero, so the inverse of the matrix A exists

Bundle: College Algebra, 7th + WebAssign Printed Access Card for Stewart/Redlin/Watson's College Algebra, 7th Edition, Single-Term

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Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Cengage Learning

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Chapter 6.3, Problem 12E

To determine

To find:

The inverse of the matrix A=[3479], if it exists.

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Chapter 6.3, Problem 11E

Chapter 6.3, Problem 13E

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Chapter 6 Solutions

Bundle: College Algebra, 7th + WebAssign Printed Access Card for Stewart/Redlin/Watson's College Algebra, 7th Edition, Single-Term

Ch. 6.1 - If a system of linear equations has infinitely...Ch. 6.1 - Write the augmented matrix of the following system...Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Dimension of a Matrix State the dimension of the...Ch. 6.1 - Prob. 10E

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