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2. 4. Let A =0 6. 4 6. 1 (a) Perform exactly one elementary row operation on A to get a symmetric matrix. (Call it B) (Reminder: Matrix B is symmetric if B = B") (b) Write B as the product, EA, where E is an elementary matrix. 5. Given X, B, and C are n xn matrices, solve the following equation for X. Assume any necessary matrices to be invertible. (3X-1B)-1 = C(X + B) -2 -4 2 6. Let A =-2 10 | and b 2 2 3 (a) Determine A-1. (b) Use your answer in part (a) to solve the matrix equation Ax = b.

2. 4. Let A =0 6. 4 6. 1 (a) Perform exactly one elementary row operation on A to get a symmetric matrix. (Call it B) (Reminder: Matrix B is symmetric if B = B") (b) Write B as the product, EA, where E is an elementary matrix. 5. Given X, B, and C are n xn matrices, solve the following equation for X. Assume any necessary matrices to be invertible. (3X-1B)-1 = C(X + B) -2 -4 2 6. Let A =-2 10 | and b 2 2 3 (a) Determine A-1. (b) Use your answer in part (a) to solve the matrix equation Ax = b.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 30E
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2. 4. Let A =0 6. 4 6. 1 (a) Perform exactly one elementary row operation on A to get a symmetric matrix. (Call it B) (Reminder: Matrix B is symmetric if B = B") (b) Write B as the product, EA, where E is an elementary matrix. 5. Given X, B, and C are n xn matrices, solve the following equation for X. Assume any necessary matrices to be invertible. (3X-1B)-1 = C(X + B) -2 -4 2 6. Let A =-2 10 | and b 2 2 3 (a) Determine A-1. (b) Use your answer in part (a) to solve the matrix equation Ax = b.
Transcribed Image Text:2. 4. Let A =0 6. 4 6. 1 (a) Perform exactly one elementary row operation on A to get a symmetric matrix. (Call it B) (Reminder: Matrix B is symmetric if B = B") (b) Write B as the product, EA, where E is an elementary matrix. 5. Given X, B, and C are n xn matrices, solve the following equation for X. Assume any necessary matrices to be invertible. (3X-1B)-1 = C(X + B) -2 -4 2 6. Let A =-2 10 | and b 2 2 3 (a) Determine A-1. (b) Use your answer in part (a) to solve the matrix equation Ax = b.
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