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7:33
Study.com
Finding the Inverse of a 3x3 Matrix | Overview & Formula
Learn the inverse of a 3x3 matrix, how to solve a 3x3 matrix, and how to take the inverse of a matrix using the row reduction method. Discover key terms.
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SOLVED: Suppose A is a 3 × 3 matrix that can be row-reduced to theidentity matrix I3 by the following sequence ofelementary row operations:(i) replace the first row by its sum with the second row; then(ii) replace the first row by its sum with the third row; then(iii) divide the second row by 2.(a) Write the elementary matrices corresponding to each of thethree-row operations above, and their inverses.(b) Use the given information to find A and A-1.
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