2. Find T* for the following. Then determine whether T is self-adjoint. If T is self-adjoint, show that T is orthogonally diagonalisable. a. T(1,y) = (x+Y, Y +1) b. T(1,y, z) = (r+ y – 2,1 – 2y + 3z,x + y – 2)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. Find T* for the following. Then determine whether T is self-adjoint. If T is
self-adjoint, show that T is orthogonally diagonalisable.
a. T(x,y) = (x +y, Y + x)
b. T(x, y, z) = (x + y – z, x – 2y + 3z, x + y – 2)
Transcribed Image Text:2. Find T* for the following. Then determine whether T is self-adjoint. If T is self-adjoint, show that T is orthogonally diagonalisable. a. T(x,y) = (x +y, Y + x) b. T(x, y, z) = (x + y – z, x – 2y + 3z, x + y – 2)
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