Upper triangular matrices

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.

Help please :smile:

Reply 1

TeeEm

19

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.

Help please :smile:

All the big purists have gone to bed early ... or watching MOTD2

Reply 2

ghostwalker

17

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.

Help please :smile:

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

a_{i,j}

?

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

Upper triangular matrices

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