Submatrices - ME 210 Applied Mathematics for Mechanical...

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ME – 210 Applied Mathematics for Mechanical Engineers Prof. Dr. Faruk Arınç Spring 2010 10. If [C] = [A][B] where [A], [B], and [C] are all square matrices of the same size, then det[C] = det[A] det[B] Submatrices and Rank Submatrix: Any matrix obtained by deleting some rows and/or columns of a given matrix [A]. Example: Find all submatrices of the following 2 × 3 matrix: = 23 22 21 13 12 11 a a a a a a ] A [ Of course, one obvious submatrix is the [A] matrix itself with no row or column deletion.
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ME – 210 Applied Mathematics for Mechanical Engineers Prof. Dr. Faruk Arınç Spring 2010 Other submatrices are: Three 2×2 submatrices: 23 22 13 12 23 21 13 11 22 21 12 11 a a a a ; a a a a ; a a a a Two 1×3 submatrices: [ ] [ ] 23 22 21 13 12 11 a a a ; a a a Three 2×1 submatrices: 23 13 22 12 21 11 a a ; a a ; a a Six 1×2 submatrices:
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This note was uploaded on 07/31/2011 for the course ME 210 taught by Professor Farukarinç during the Spring '09 term at Middle East Technical University.

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Submatrices - ME 210 Applied Mathematics for Mechanical...

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