Problem 1

Let , , and . Verify that and yet .

Problem 2

For any arbitrary matrices , and mark each statement as true or false.

• [ ] If and are and , then .
• [x] The second row of is the second row of multiplied on the right by .
• [ ]
• [ ]
• [x] The transpose of a sum of matrices equals the sum of their transposes.

Problem 3

Suppose the first two columns, and , of are equal. What can you say about the columns of (if is defined)? Why?

The first two columns of are also equal to each other as and since , .