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Published byGloria Stevens Modified over 6 years ago

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Identity and Inverse Matrices

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Key Topics Identity matrix: a square matrix, multiplied with another matrix doesn’t change the other matrix (just like 1 is the multiplicative identity of real numbers)

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Identity Matrix in Action Notice: These two matrices are the same. Multiplying by the identity matrix changed nothing

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Key Topics You might be wondering: why do I tell you about the identity matrix ?? If it doesn’t do anything, why do we need to know what it is ?? Inverses: two nXn matrices are inverses of each other if their product is the identity matrix

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Checking for Inverse Matrices Determine whether the following pairs of matrices are inverses of one another:

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Finding 2X2 Inverse Matrices To find the inverse of a 2X2 matrix, use the following method: Basically this tells us to calculate the determinant, then multiply it’s inverse by the rearranged matrix having a and d switch places and b and c as the opposite values Inverse of Determinant Rearranged matrix A -1 is the notation used to represent the inverse of matrix A If determinant is 0 there is no inverse!!

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Practice Find the inverse matrix for the following matrices: N/A

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