JEE · Matrices & Determinants · Foundations

Matrices & Determinants: Trace of math?

2×2 determinants, Cramer's rule peek.

Try the problem

Trace of (2005)\begin{pmatrix}2&0\\0&5\end{pmatrix}?

Hint and answer

Concept to use

$\det\begin{pmatrix}a&b\\c&d\end{pmatrix}=ad-bc$.

Hint

Diagonal sum.

Answer

7

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