Question

Please help me on this. I'm lost with the invertible matrix theorem. This learning module introduced the invertible matrix theorem. This theorem is a collection of 12 equivalent statements. This means that when one statement in the theorem is true, all statements in the theorem are true. Similarly, when one statement in the theorem is false, all statements are false. For your initial post, propose a specific n x n matrix A, where n >= 3. Select four statements from the invertible matrix theorem and show that all four statements are true or false, depending on the matrix you selected. Make sure to clearly explain and justify your work. Also, make sure to label your statements using the notation used in the notes (e.g., part (a), part (f), etc.). In responding to your classmates’ posts, verify that their work is correct and select three additional statements they did not originally address and show that these statements are true (or false). Again, make sure to show your work.

Answer 1

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