Linear Algebra Examples

Find the Inverse of the Resulting Matrix
Combine the similar matrices with each others.
Simplify each element of the matrix .
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Combine the same size matrices and by adding the corresponding elements of each.
Simplify element of the matrix.
Simplify element of the matrix.
Simplify element of the matrix.
Simplify element of the matrix.
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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Simplify element by multiplying .
Simplify element by multiplying .
Multiply by each element of the matrix.
Simplify each element of the matrix .
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Simplify element by multiplying .
Simplify element by multiplying .
Simplify element by multiplying .
Simplify element by multiplying .
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