Question

Multiply the matrices: \[ \left[ \begin{matrix} 5 & 1 & 2 \\ 3 & 4 \end{matrix} \right] \]

• A. \( \left[ \begin{matrix} 5 & 10 \\ 15 & 20 \end{matrix} \right]
• B. \( \left[ \begin{matrix} 5 & 2 \\ 3 & 20 \end{matrix} \right]
• C. \( \left[ \begin{matrix} 5 & 10 \\ 3 & 4 \end{matrix} \right]
• D. \( \left[ \begin{matrix} 1 & 10 \\ 15 & 20 \end{matrix} \right] \)

Hint:

To multiply matrices, use the rule of dot products of rows of the first matrix and columns of the second matrix.

Answer 1

The Correct Option is C

We are given two matrices and we are asked to multiply them: \[ \left[ \begin{matrix} 5 & 1 & 2 \\ 3 & 4 \end{matrix} \right] \] Matrix multiplication follows the rule that the element in the \(i\)-th row and \(j\)-th column of the resulting matrix is the sum of the products of corresponding elements from the rows of the first matrix and columns of the second matrix. Performing matrix multiplication, we get the result: \[ \left[ \begin{matrix} 5 & 10
3 & 4 \end{matrix} \right] \]