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Vectors and Matrices question

2025 · Q52

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IIT JAM
Chemistry
Vectors and Matrices
2025 · Q52

Vectors and Matrices question

2025 · Q52

IIT JAMChemistryVectors and MatricesNumerical+2 / −0

Consider the following matrices A and B.

A = \begin{pmatrix} 1 & 2 & 0 & 0 & 0 \\ 3 & 4 & 0 & 0 & 0 \\ 0 & 0 & 5 & 0 & 0 \\ 0 & 0 & 0 & 6 & 7 \\ 0 & 0 & 0 & 8 & 9 \end{pmatrix} \text{ and } B = \begin{pmatrix} 10 & 11 & 0 & 0 & 0 \\ 12 & 13 & 0 & 0 & 0 \\ 0 & 0 & 4 & 0 & 0 \\ 0 & 0 & 0 & 15 & 16 \\ 0 & 0 & 0 & 17 & 18 \end{pmatrix}

If C = AB, sum of the diagonal elements of C is

\underline{\hspace{2cm}}

.

Numerical answer

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Correct answer: 638

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