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Solve the matrix equation X-A=B for X if A= [8, -2, -3, 9, -1, 5] and B= [0, 7, 2 -3, -7, -1]
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Solve the matrix equation X-A=B for X if A= [8, -2, -3, 9, -1, 5] and B= [0, 7, 2 -3, -7, -1]

Solve the matrix equation X-A=B for X if A= [8, -2, -3, 9, -1, 5] and B= [0, 7, 2 -3, -7, -1]-example-1
User Shiva Wu
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1 Answer

4 votes

If X - A = B, then X = A + B. So


X = \begin{bmatrix}8&-2\\-3&9\\-1&5\end{bmatrix} + \begin{bmatrix}0&7\\2&-3\\-7&-1\end{bmatrix} \\\\ X = \begin{bmatrix}8+0&-2+7\\-3+2&9-3\\-1-7&5-1\end{bmatrix} \\\\ X = \begin{bmatrix}8&5\\-1&6\\-8&4\end{bmatrix}

User Irshad Bhat
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