Find the Variables [[x,8],[6,y]]=[[0,8],[6,2]]

Problem

[[x,8],[6,y]]=[[0,8],[6,2]]

Solution

1. Identify the condition for matrix equality, which states that two matrices are equal if and only if their corresponding entries are equal.

2. Equate the entry in the first row and first column of the left matrix to the corresponding entry in the right matrix.

x=0

3. Equate the entry in the second row and second column of the left matrix to the corresponding entry in the right matrix.

y=2

4. Verify that the remaining corresponding entries (8 = 8a*n*d = 6$) are already equal, confirming the matrices can be identical.

Final Answer

x=0,y=2

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