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# Upper triangular matrices watch

1. I have to prove that an upper triangular matrix remains upper triangular when multiplied by a scalar. I know this is obvious but I don't know how to prove this using the notation aij.

2. (Original post by Lunu)
I have to prove that an upper triangular matrix remains upper triangular when multiplied by a scalar. I know this is obvious but I don't know how to prove this using the notation aij.

All the big purists have gone to bed early ... or watching MOTD2
3. (Original post by Lunu)
I have to prove that an upper triangular matrix remains upper triangular when multiplied by a scalar. I know this is obvious but I don't know how to prove this using the notation aij.

How would you describe an upper triangular matrix, in terms of ?

If you can see that, I suspect you may then be able to answer the original question yourself.

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