Let S be the set containing all 3 \times 3 matrices with entries from \{-1,0,1\}. The total number of matrices A \in S such that the sum of all the diagonal elements of A^{ {\T}} A is 6 is ________. [27-Jul-2022-Shift-1]

JEE Mains 27-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 28 of 90

Marks: +1, -0

Let S be the set containing all 3×3 matrices with entries from {−1,0,1}. The total number of matrices A∈S such that the sum of all the diagonal elements of ATA is 6 is ________.

[27-Jul-2022-Shift-1]

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a1	a2	a3
b1	b2	b3
c1	c2	c3