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how to solve Solving Matrix Equations please?I can not seem to know or grasp when I need add or subtract on each side.

how to solve Solving Matrix Equations please?I can not seem to know or grasp when-example-1
User Mark Essel
by
2.4k points

1 Answer

15 votes
15 votes

To find X, we have to move the variable X to the right side, and the matrix on the right moves it to the left side.


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

Then, we just subtract the matrices


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

As you can observe, you have to subtract the same position numbers.

Hence, the answer is


X=\begin{bmatrix}{8} & {-11} & {} \\ {-5} & {4} & {} \\ & {} & {}\end{bmatrix}

User Houssein Zouari
by
2.7k points
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