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2 Consider the following general 3 3 matrix a b A d e f ghi a Let B be the matrix obtained from A by

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2 Consider the following general 3 3 matrix a b A d e f ghi a Let B be the matrix obtained from A by switching row 2 and row 3 Show via an expli calculation that det A det B b Let C be the matrix obtained from A by replacing R3 row 3 with R3 t R1 row 3 plus t tim row 1 for some scalar t Show via an explicit calculation that det A det C hint expand along its third row

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