Let B be a 4x4 matrix to which we apply the following operations: 1. double column 1, 2. halve row 3, 3. add row 3 to row 1, 4. interchange columns 1 and 4, 5. subtract row 2 from each of the other rows, 6. replace column 4 by column 3, 7. delete column 1 (so that the column dimension is reduced by 1). (a) Write the result as a product of eight matrices. (b) Write it again as a product of ABC (same B) of three matrices.
Let B be a 4x4 matrix to which we apply the following operations: 1. double column 1, 2. halve row 3, 3. add row 3 to row 1, 4. interchange columns 1 and 4, 5. subtract row 2 from each of the other rows, 6. replace column 4 by column 3, 7. delete column 1 (so that the column dimension is reduced by 1). (a) Write the result as a product of eight matrices. (b) Write it again as a product of ABC (same B) of three matrices.
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 77E
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Let B be a 4x4 matrix to which we apply the following operations:
1. double column 1,
2. halve row 3,
3. add row 3 to row 1,
4. interchange columns 1 and 4,
5. subtract row 2 from each of the other rows,
6. replace column 4 by column 3,
7. delete column 1 (so that the column dimension is reduced by 1).
(a) Write the result as a product of eight matrices.
(b) Write it again as a product of ABC (same B) of three matrices.
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