JEE Mains · Maths · STD 12 - 3 and 4 . metrices and determinant
The number of \( 3\times2 \) matrices A, which can be formed using the elements of the set \( \{-2,-1,0,1,2\} \) such that the sum of all the diagonal elements of \( A^{T}A \) is 5, is ___ .
- A 300
- B 312
- C 324
- D 340
Answer & Solution
Correct Answer
(B) 312
Step-by-step Solution
Detailed explanation
\(\left(\begin{array}{ll} a _1 & b_1 \\ a _2 & b_2 \\ a _3 & b_3\end{array}\right)_{3 \times 2}\)…
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