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Find the values of u and y in the following matrix subtraction.

Find the values of u and y in the following matrix subtraction.-example-1
User Aravinth
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1 Answer

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Given the matrix:


\begin{bmatrix}{5} & {} & {} \\ {x} & {} & {} \\ -{1} & {} & {}\end{bmatrix}-\begin{bmatrix}{-3} & {} & {} \\ {2} & {} & {} \\ {y} & {} & {}\end{bmatrix}=\begin{bmatrix}{8} & {} & {} \\ {-5} & {} & {} \\ {-6} & {} & {}\end{bmatrix}

Let's find the values of x and yin the following matrix substitution.

To find the values of x and y, subtract the rows from each other.

We have the equations:

• x - 2 = -5

• -1 - y = -6

For x, we have:

• x - 2 = -5

Add 2 to both sides:

x - 2 + 2 = -5 + 2

x = -3

• For y, we have:

-1 - y = -6

Add 1 to both sides:

-1 + 1 - y = -6 + 1

-y = -5

Divide both sides by -1:


\begin{gathered} (-y)/(-1)=(-5)/(-1) \\ \\ y=5 \end{gathered}

ANSWER:

• x = -3

• y = 5

User Navin Gupta
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