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matematikuvol
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Linear operator A is defined as
[tex]A(C_1f(x)+C_2g(x))=C_1Af(x)+C_2Ag(x)[/tex]
Question. Is A=5 a linear operator? I know that this is just number but it satisfy relation
[tex]5(C_1f(x)+C_2g(x))=C_15f(x)+C_25g(x)[/tex]
but it is also scalar.
Is function ##A=x## linear operator? It also satisfy
[tex]x(C_1f(x)+C_2g(x))=C_1xf(x)+C_2xg(x)[/tex]
Thanks for the answer!
[tex]A(C_1f(x)+C_2g(x))=C_1Af(x)+C_2Ag(x)[/tex]
Question. Is A=5 a linear operator? I know that this is just number but it satisfy relation
[tex]5(C_1f(x)+C_2g(x))=C_15f(x)+C_25g(x)[/tex]
but it is also scalar.
Is function ##A=x## linear operator? It also satisfy
[tex]x(C_1f(x)+C_2g(x))=C_1xf(x)+C_2xg(x)[/tex]
Thanks for the answer!