quiz4 - 4 Show that the equation of the line in R 2 through...

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Math 54 Wednesday, February 18 Quiz 4 1. Compute the following determinant: 1 3 - 1 0 - 2 0 2 - 4 - 1 - 6 - 2 - 6 2 3 9 3 7 - 3 8 - 7 3 5 5 2 7 . 2. Let A and P be n × n matrices, with P invertible. Show that det( PAP - 1 ) = det A . 3. Compute det( B 5 ), where B = 1 0 1 1 1 2 1 2 1 . 4. Show that the equation of the line in
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Unformatted text preview: . 4. Show that the equation of the line in R 2 through distinct points ( x 1 ,y 1 ) and ( x 2 ,y 2 ) can be written as det 1 x y 1 x 1 y 1 1 x 2 y 2 = 0 . 1...
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