Question

Which of the following statement are True.(1) if a matrix has n^2 entries , where n belongs to N , then it is a square matrix.

Answer 1

Answer on Question #74840 – Math – Linear Algebra

Question

Which of the following statement are True: if a matrix has $n^2$ entries, where $n$ belongs to $N$, then it is a square matrix.

Solution

If a matrix has $n^2$ entries, where $n$ belongs to $N$, then it does not always mean that the matrix is square. For example, if $n=6$, then a matrix may have the sizes $(6 \times 6)$, $(4 \times 9)$ or $(9 \times 4)$. Therefore, this statement is false in general.

Answer: false.

Answer provided by https://www.AssignmentExpert.com