The number of all possible non-zero matrices of order $3×4$ with each entry 0 or 1 or 2 is :

$3^{12}-1$

The correct answer is Option (4) → $3^{12}-1$

A matrix of order 3 × 4 has 12 elements. Each entry can take on any of the 3 values.

∴ Total no of matrices = $3^{12}$

However, in this case one of the matrix will be null matrix of order 3 × 4.

$∴ 3^{12}-1$