Hey all, I was just curious:
Why is the conjugate of a complex number (a + bi) defined as (a - bi)? If we instead change the sign of the real part (-a + bi), we still get a real number when we multiply the two. Is there a particular significance to the current definition...
THanks for the prompt reply, but I'm not sure I still understand.
From the factorization, I get the solutions A = 3I, and A = -2I (and they happen to satisfy the equation). However, there are solutions the aforementioned ones that also work. How can there be more than two solutions to a...
Thanks in advance for your help (and sorry about the lack of Latex...I didn't know how to type matrices in that format!)
The textbook question itself is quite straightforward:
Verify that A^2 - A - 6I = 0, given that A is a 2x2 matrix. (I is the identity matrix)
It then goes on to...
Hello everybody, my apologies if this is a stupid question.
Under the sound (specifically vibrations and waves) unit in my textbook, it briefly mentions nodes. However, it merely describes it as a "centre point [that] always stays at the equilibrium and never vibrates."
My question is...