Question

After scalar multiplication and matrix addition, which matrix is equal to \[\begin{bmatrix}7&6\\15&14\end{bmatrix}\] in the given equation?

पर्याय

• \[\begin{bmatrix}2x+3&10-4\\14+1&2y-6+2\end{bmatrix}\]

• \[\begin{bmatrix}2x&10\\14&2y-6\end{bmatrix}\]

• \[\begin{bmatrix}x+3&1\\8&y-1\end{bmatrix}\]

• \[\begin{bmatrix}2x+3&6\\15&2y-4\end{bmatrix}\]

Answer 1

Scalar multiplication gives entries \[2x,10,14\], and \[2y-6\]. Adding corresponding entries produces \[\begin{bmatrix}2x+3&6\\15&2y-4\end{bmatrix}\].