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General — Easy JEE math MCQ

How many $3 \times 3$ matrices $M$ with entries from $\{0,1,2\}$ are there, for which the sum of the diagonal entries of $M^{T} M$ is $5 ?$
  1. A. 126
  2. B. 198
  3. C. 162
  4. D. 135

Solution

The correct option is **B**.

MATH

easy • PYQ Reworded
Question
Read carefully, then pick the best option.
How many 3×33 \times 3 matrices MM with entries from {0,1,2}\{0,1,2\} are there, for which the sum of the diagonal entries of MTMM^{T} M is 5?5 ?
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General — Easy JEE Mathematics MCQ | MyGoalPrep