matrix doubt

[newuser]

there are three elementary row operations which will produce a row-equivalent matrix.

1. Interchange two rows
2. Multiply a row by a non-zero constant
3. Multiply a row by a non-zero constant and add it to another row, replacing that row.

My question is:
It is must to apply this operations numberwise or we can shuffle?
For example:

1. Multiply a row by a non-zero constant
   
2. Multiply a row by a non-zero constant and add it to another row, replacing that row.
3. Interchange two rows.

Pls clear me. Thanks

 

[mmm4444bot]

three elementary row operations...

1. Interchange two rows
2. Multiply a row by a non-zero constant
3. Multiply a row by a non-zero constant and add it to another row, replacing that row

It is must to apply this operations numberwise or we can shuffle?

We may perform the row operations in any order.

Sometimes, we need all three types; sometimes, we do not.

Sometimes, we use the same operation many times. Sometimes, we use it only once.

The number of operations that you need to perform, which ones, and the order in which you perform them all depend upon the beginning matrix and your goal.

Click HERE to see some examples of these basic row operations in use.

Cheers ~ Mark :cool:

 

[newuser]

We perform the row operations in any order.

Sometimes, we need all three types; sometimes, we do not.

Sometimes, we use the same operation many times. Sometimes, we use it only once.

The number of operations that you need to perform, which ones, and the order in which you perform them all depend upon the beginning matrix and your goal.

Cheers ~ Mark :cool:

Thanks