How many matrix with entries from are there

MATHEMATICS · Single correct · CBSE · Mathematics · Matrices · Matrices

Problem

How many

3 \times 3

matrix

M

with entries from

\{0, 1, 2\}

are there, for which the sum of the diagonal entries of

MTM

is 5? (A) 162 (B) 135 (C) 126 (D) 198