Given, matrix A = [3,2] and B = [-2, -1], find the matrix X such that X - A = B.

Question

Given, matrix A = \(\begin{bmatrix}3\\[0.3em]2\end{bmatrix}\) and B = \(\begin{bmatrix}-2\\[0.3em]-1\end{bmatrix},\) find the matrix X such that X - A = B.

(a) \(\begin{bmatrix}0\\[0.3em]0\end{bmatrix}\)

(b) \(\begin{bmatrix}1\\[0.3em]1\end{bmatrix}\)

(c) \(\begin{bmatrix}4\\[0.3em]0\end{bmatrix}\)

(d) \(\begin{bmatrix}1\\[0.3em]-1\end{bmatrix}\)

Answer 1

(b) X - A = B ⇒ X = A + B

⇒ X = \(\begin{bmatrix}3\\[0.3em]2\end{bmatrix}\) + \(\begin{bmatrix}-2\\[0.3em]-1\end{bmatrix}\) = \(\begin{bmatrix}3-2\\[0.3em]2-1\end{bmatrix}\) = \(\begin{bmatrix}1\\[0.3em]1\end{bmatrix}\)