True or FalseIf A and B are nxxn lower triangular matrices, then AB is also lower triangular

opatovaL

opatovaL

Answered question

2021-03-05

True or False If A and B are n×n lower triangular matrices, then AB is also lower triangular

 

Answer & Explanation

falhiblesw

falhiblesw

Skilled2021-03-06Added 97 answers

Consider 2 x 2 lower triangular matrix

A=[a0bc]andB=[d0ef]

Now taking multiplication of A and B we get,

AB=[a0bc][d0ef]

AB=[ad0bd+cecf]

Therefore, AB is also an upper triangular matrix, N

Hence, if A and B are n x n lower triangular matrices, then AB is also lower triangular. Therefore, given statement is true.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?