Explanation Given: The matrix A = [ 5 0 2 2 2 1 − 3 1 − 1 ] . Formula used: To find A − 1 , first form [ A | I ] then use row operation to obtain [ I | B ] that indicates B = A − 1 . Calculation: Consider the provided matrix A = [ 5 0 2 2 2 1 − 3 1 − 1 ] . Compute matrix in form of: [ A | I ] The augment with identity matrix is: [ A | I ] = [ 5 0 2 1 0 0 2 2 1 0 1 0 − 3 1 − 1 0 0 1 ] Now, use row operation to reduce matrix in row echelon form for inverse: R 2 → R 2 − 2 5 × R 1 , R 3 → R 3 + 3 5 × R 1 , R 3 → R 3 − 1 2 × R 2 The resulting matrix is: [ 5 0 2 1 0 0 0 2 1 5 − 2 5 1 0 0 0 1 10 4 5 − 1 2 1 ] Again, apply the row operations: R 3 → 10 × R 3 , R 2 → R 2 − 1 5 × R 3 , R 1 → R 1 − 2 × R 3 , R 2 → 1 2 × R 2 , R 1 → 1 5 × R 1 [ A | I ] = [ 1 0 0 − 3 2 − 4 0 1 0 − 1 1 − 1 0 0 1 − 8 − 5 10 ] = [ I | B ] Where A − 1 = [ B ] So, The inverse of matrix is A − 1 = [ − 3 2 − 4 − 1 1 − 1 8 − 5 10 ] Now, check the result for A A − 1 = I 3 And, A − 1 A = I 3 Here, A = [ 5 0 2 2 2 1 − 3 1 −

Algebra And Trigonometry 6th. Edition Annotated Instructor's Copy Blitzer

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Author: Blitzer

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Chapter 9.4, Problem 25E

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To calculate: The inverse of matrix A=[502221−31−1] and also check the provided result.

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Chapter 9.4, Problem 24E

Chapter 9.4, Problem 26E

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Chapter 9 Solutions

Algebra And Trigonometry 6th. Edition Annotated Instructor's Copy Blitzer

Ch. 9.1 - Fill in each blank so that the resulting statement...Ch. 9.1 - Fill in each blank so that the resulting statement...Ch. 9.1 - Prob. 3CVC Ch. 9.1 - Prob. 4CVC Ch. 9.1 - Fill in each blank so that the resulting statement...Ch. 9.1 - Fill in each blank so that the resulting statement...Ch. 9.1 - In Exercises 1-8, write the augmented matrix for...Ch. 9.1 - In Exercises 1-8, write the augmented matrix for...Ch. 9.1 - In Exercises 18, write the augmented matrix for...Ch. 9.1 - In Exercises 1-8, write the augmented matrix for...

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The inverse of matrix A = [ 5 0 2 2 2 1 − 3 1 − 1 ] and also check the provided result.

Solution Summary: The author explains how to calculate the inverse of the matrix A=left[cc5& 0& 2 2&2& 1 -3&

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To calculate: The inverse of matrix A=[502221−31−1] and also check the provided result.

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Chapter 9 Solutions