How many matrices {X}(3 \\times3) with entries \{0,1,2\} are there for which sum of diagonal entries of {X} \.{X}^{T} is 7 ?

JEE Advanced 2021 Full Test 3 Paper 1

PART – III

Mathematics

SECTION – A (One Options Correct Type)
This section contains 06 multiple choice questions. Each question has four choices (A), (B), (C) and (D), out of which ONLY ONE option is correct.

Question : 40 of 54

Marks: +1, -0

How many matrices X(3×3) with entries {0,1,2} are there for which sum of diagonal entries of X.XT is 7?

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