The number of all non-zero matrices of order 2 × 3 with each entry -1, 0, 1 is:
Answer & explanation
Correct answer: option 3
$\text{Order of matrix}=2\times3.$
$\text{Total entries}=6.$
$\text{Each entry can be }-1,0,1.$
$\text{Number of possible matrices}=3^6.$
$=729.$
$\text{Zero matrix}=1.$
$\text{Non-zero matrices}=729-1.$
$=728.$
$\text{Number of non-zero matrices}=728.$