Find the Inverse of the Matrix [[40/13,70/13],[28/13,140/13]]

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 .
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Multiply and .
Multiply by .
Multiply by .
Multiply .
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Multiply and .
Multiply by .
Multiply by .
Combine the numerators over the common denominator.
Subtract from .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
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 [[40/13,70/13],[28/13,140/13]]


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