From the following matrices identify unit matrices, row matrices, column matrices and null matrices | ClassNotes

Aug 01, 2022

Question:

From the following matrices identify unit matrices, row matrices, column matrices and null matrices.

A =$~\left[ \begin{matrix} 0 & 0 \\ 0 & 0 \\ \end{matrix} \right]$	B =$~\left[ \begin{matrix} 2 & 3~~~~~4 \\ \end{matrix} \right]$
C =$\left[ \begin{matrix} 4 \\ 0 \\ 6 \\ \end{matrix} \right]$	D = $\left[ \begin{matrix} 1 & 0 \\ 0 & 1 \\ \end{matrix} \right]$
E = $\left[ 0 \right]$	F = $\left[ \begin{matrix} 5 \\ 6 \\ 7 \\ \end{matrix} \right]$

Difficulty: Easy

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Solution:

Matrix A is a null matrix (because all its entries are zero)

Matrix B is a row matrix (because it has only one row).

Matrix C is a column matrix (because it has only one column).

Matrix D is a unit matrix (because its diagonal entries are $1$ and non-diagonal entries are $0$).

Matrix E is a null matrix (because all its entries are $0$).

Matrix F is a column matrix (because it has only one column).