How many rows and columns are in an m \times

b2sonicxh 2021-12-19 Answered

How many rows and columns are in an m×n matrix or is it vice versa?

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Expert Answer

Karen Robbins
Answered 2021-12-20 Author has 49 answers
An m × n matrix has m rows and n columns.

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mauricio0815sh
Answered 2021-12-21 Author has 34 answers
I suggest you always to check the notation on the book which you are using. I found sometimes this notation with different meaning. In advanced books, for example. Even the notation for linear maps as matrices. Sometimes they write xT.

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Jeffrey Jordon
Answered 2021-12-26 Author has 2495 answers

Always check and make sure you have the right convention for the occasion. Usually m × n is rows × columns. I like to remember this as being in REVERSE alphabetical order - Rows by Columns, or R first then C. However, in Boyce & DiPrima's book "Elementary Differential Equations and Boundary Value Problems" an m × n matrix has m vertical columns and n horizontal rows. 

However, when addressing elements within a matrix, it's the opposite. The element "a sub i,j" references the element in the ith row and jth column. Lesson? Always check to make sure you have the correct convention!

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