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Published byDesiree Cox Modified over 2 years ago

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Identity and Inverse Matrices

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The Identity Matrix The identity matrix [I] for multiplication is a square matrix with a 1 for every element of the principal diagonal (top left to bottom right) and a 0 in all other positions.square matrix element Example: 3x3 Identity Matrix

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Identity Matrix A = A I = A

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Inverse Matrix The product of a matrix and its inverse is the identity matrix. A -1 is the notation to designate the inverse of a matrix. A A -1 = I

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Verify Inverse Matrices: Determine whether the pair of matrices are inverses. Since XY≠ I, they are not inverses!

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Find the inverse of the matrix. Step 1: Find the determinant. Step 2: Multiply by

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Find the inverse of the matrix. Step 1: Find the determinant. Step 2: Change the matrix: Step 3: Multiply by.

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Find the inverse of each matrix. Step 1: Find the determinant of the matrix. Since the determinant equals 0, R -1 does not exist.

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