Let A = (3, 4), B = (0, −5), and C = (4, −3). Find equations...

Let A = (3, 4), B = (0, −5), and C = (4, −3). Find equations for the perpendicular bisectors of segments AB and BC, and coordinates for their common point K. Calculate lengths KA, KB, and KC. Why is K also on the perpendicular bisector of segment CA?

Expert Solution

milcah answered 2 years ago

Let 3x3 matrix A = -3 0 -4 0 5 0 &nb

Let 3x3 matrix A = -3 0 -4 0 5 0 -4 0 3 a) Find the eigenvalues of A and list their multiplicities. b) Find a basis, Bi, for each eigenspace, E(i). c) If possible, diagonalise matrix A. (i.e find matrices P and D such that Pinv AP = D is diagonal).

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