Three matrices are shown below. A=[} 4&1 -3&0 ] B=[} -2&3 -5&1 ] C=[} 5&-1 2&3 ] Perform the matrix operations indicated below. Drag and drop the correct choices to complete the matrix operations. 3A=square A+B=square BC=square 6018 50 15 [} -13&13 6&-9 ] -10-3 -10 3 [} -8&3 15&0 ] -23 8 [} 2&4 -8&1 ] [} 7&4 0&3 ] [} 12&1 -3&0 ] [} 12&3 -9&0 ]

To solve the given matrix operations, we need to perform scalar multiplication, matrix addition, and matrix multiplication.<br /><br />1. $3A$:<br />To perform scalar multiplication, we multiply each element of matrix A by the scalar value 3.<br />$3A = 3 \times [\begin{matrix} 4&1\\ -3&0\end{matrix} ] = [\begin{matrix} 12&3\\ -9&0\end{matrix} ]$<br /><br />2. $A+B$:<br />To perform matrix addition, we add the corresponding elements of matrices A and B.<br />$A+B = [\begin{matrix} 4&1\\ -3&0\end{matrix} ] + [\begin{matrix} -2&3\\ -5&1\end{matrix} ] = [\begin{matrix} 2&4\\ -8&1\end{matrix} ]$<br /><br />3. $BC$:<br />To perform matrix multiplication, we multiply each element of matrix B by the corresponding element of matrix C and sum the products.<br />$BC = [\begin{matrix} -2&3\\ -5&1\end{matrix} ] \times [\begin{matrix} 5&-1\\ 2&3\end{matrix} ] = [\begin{matrix} -10&3\\ -15&0\end{matrix} ]$<br /><br />Therefore, the correct choices to complete the matrix operations are:<br />$3A = [\begin{matrix} 12&3\\ -9&0\end{matrix} ]$<br />$A+B = [\begin{matrix} 2&4\\ -8&1\end{matrix} ]$<br />$BC = [\begin{matrix} -10&3\\ -15&0\end{matrix} ]$