3. [6 marks] Simplify, you may assume that the matrices A, B,C,D are invertible: (CA) (BTCACT) (DC-¹B)-¹D aud anworutrum nosup 8 to Aprile ( 4. [6 marks] Indicate if the following statements are True or False a) If the zero vector is a solution to a system of linear equations then the system must be homogeneous. b) If a system of 3 linear equations in 4 variables is consistent, then it must have infinitely many solutions. c) If a matrix is row reduced to reduced row-echelon form by two different sequences of elementary row operations, the resulting reduced matrices might be different.

3. [6 marks] Simplify, you may assume that the matrices A, B,C,D are invertible: (CA) (BTCACT) (DC-¹B)-¹D aud anworutrum nosup 8 to Aprile ( 4. [6 marks] Indicate if the following statements are True or False a) If the zero vector is a solution to a system of linear equations then the system must be homogeneous. b) If a system of 3 linear equations in 4 variables is consistent, then it must have infinitely many solutions. c) If a matrix is row reduced to reduced row-echelon form by two different sequences of elementary row operations, the resulting reduced matrices might be different.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.1: Operations With Matrices

Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.

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