Finding the Inverse of a 3x3 Matrix | Overview & Formula
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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:Prove that if 𝐔 is an upper triangular matrix with all main diagonal entries nonzero, then 𝐔^-1 exists and is upper triangular. (Hint: Show that the method for calculating the inverse of a matrix does not produce a row of zeroes on the left side of the augmented matrix. Also, show that for each row reduction step, the corresponding elementary matrix is upper triangular. Conclude that 𝐔^-1, is the product of upper triangular matrices, and is therefore upper triangular (see Exercise 18(b
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