Find the Inverse of the Matrix [[5,-2],[7,-3]]

Math
The inverse of a matrix can be found using the formula where is the determinant of .
If then
The determinant of is .
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These are both valid notations for the determinant of a matrix.
The determinant of a matrix can be found using the formula .
Simplify the determinant.
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Simplify each term.
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Multiply by .
Multiply by .
Add and .
Substitute the known values into the formula for the inverse of a matrix.
Simplify each element of the matrix .
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Rearrange .
Rearrange .
Multiply by each element of the matrix.
Simplify each element of the matrix .
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Rearrange .
Rearrange .
Rearrange .
Rearrange .
Find the Inverse of the Matrix [[5,-2],[7,-3]]
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