Recent content by jnava

I am slowly pounding through it. This is what I have: Let w exist in R(T*T), then there exists a v in V s.t. T*T(v) = w => T(v) exists in R(T*) => w exists in R(T*) => R(T*T) is a subset of R(T*) The other way is trickier

Hi, I am trying to prove the following equality Range(T*T) = Range(T*) where T is a linear transformation and * denotes the adjoint. I know I must first show that Range(T*T) Range(T*) and vice versa. so, Let w exist in R(T*T), then there exists a v in vector space V s.t. T*T(v)...

Thank you!

Homework Statement I need to show the following equalities, where T is a linear transformation and * is the adjoint. Null(T*T) = Null(T) Range(T*T) = Range(T) The attempt at a solution I know I have to show that Null(T) is a subset of Null(T*T) and then Null(T*T) is a subset of...

Thanks for the help...I figured it out...

Homework Statement Find the impulse response of the following: Assume the system is initially at rest. y[n] - (1/2) y[n-1] = x[n] + 2 x[n-1] + x[n-2] The Attempt at a Solution To find the impulse response y[n]: we know that y[n] = homogenous solution + particular solution so... lamda -...

The first part of this problem was to find the gain using an ideal OpAmp. I am on the second half of this homework problem, where we find Vout/Vin, aka Gain, using a non ideal OpAmp. The attachment is the picture of the circuit. I know that since the OpAmp is no longer ideal A no longer...