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Tkeumiz1Er VOS Consider a non-singular (invertible) matrix A with three rows and three columns. By sequentially performing (respecting the order in which they are stated) the elementary operations on rows in matrix A described below, the identity matrix is reached: • Add in row 2 the result of -4 times row 1: -4F1 F2 → F2. • Swap.row 2 with row 3: F2>F3 • Add in row 1 the result of 5 times row 3:5F3 +F1- F1 With certainty, A-1 corresponds to the matrix: -19 5 a) 0. 0 1 -4 1 : b) -4 0-19 1 c) 0. 1 4 1 -20 1 d) -4 -20 1. 1.

Tkeumiz1Er VOS Consider a non-singular (invertible) matrix A with three rows and three columns. By sequentially performing (respecting the order in which they are stated) the elementary operations on rows in matrix A described below, the identity matrix is reached: • Add in row 2 the result of -4 times row 1: -4F1 F2 → F2. • Swap.row 2 with row 3: F2>F3 • Add in row 1 the result of 5 times row 3:5F3 +F1- F1 With certainty, A-1 corresponds to the matrix: -19 5 a) 0. 0 1 -4 1 : b) -4 0-19 1 c) 0. 1 4 1 -20 1 d) -4 -20 1. 1.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.4: Similarity And Diagonalization
Problem 41EQ: In general, it is difficult to show that two matrices are similar. However, if two similar matrices...
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Consider a non-singular (invertible) matrix A with three rows and three columns. By sequentially performing (respecting the order in which they are stated) the elementary operations on rows in matrix A described below the identity matrix is reached: • Add in row 2 the result of -4 times row 1: -4F1 + F2 → F2. • Swap.row 2 with row 3: F2€>F3 • Add in row 1 the result of 5 times row 3:5F3 + F1- F1 With certainty, A - 1 corresponds to the matrix: -19 5 0 a) 1 -4 1 0 1 b) -4 0.-19 0 1 c) 0. 1 -4 -20 0. d) -4 -20 1. 0. 1.
Transcribed Image Text:Consider a non-singular (invertible) matrix A with three rows and three columns. By sequentially performing (respecting the order in which they are stated) the elementary operations on rows in matrix A described below the identity matrix is reached: • Add in row 2 the result of -4 times row 1: -4F1 + F2 → F2. • Swap.row 2 with row 3: F2€>F3 • Add in row 1 the result of 5 times row 3:5F3 + F1- F1 With certainty, A - 1 corresponds to the matrix: -19 5 0 a) 1 -4 1 0 1 b) -4 0.-19 0 1 c) 0. 1 -4 -20 0. d) -4 -20 1. 0. 1.
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