Starting from the general definition of an adjoint operator, show that for any 2 operators A and B then: (A+B)* = A° + B',(AB)† = B† A*,(AA)† = XA',where A is a complex number and AŤ indicates the adjoint of A.From above with an additional operator C, what would (ABC)† be equal to ?

We have to evaluate ABC†. Given AB†=B†A† Hence, ABC†=ABC†=C†AB†USe AB†=B†A†=C†B†A†=C†B†A†

Answered: (A+B)* = A† + B*, (AB)† = B* A*, (AA)†…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(A+B)* = A† + B*, (AB)† = B* A*, (AA)† = XA*, %3D %3D where A is a complex number and AŤ indicates the adjoint of A. From above with an additional operator C, what would (ABC)† be equal to ?

(A+B)* = A† + B, (AB)† = B A, (AA)† = XA, %3D %3D where A is a complex number and AŤ indicates the adjoint of A. From above with an additional operator C, what would (ABC)† be equal to ?