Oh wow thanks! That was simple.
But in the textbook ##M_B(T)## = ##\begin{bmatrix} 4&4&-1\\-3&-2&0\\-3&-3&2\end{bmatrix}##
From trying to figure out where (1,1,-3) came from, I figured out that (4,-3,-3) came from the coefficients of the linear combination of each of the basis vectors. But is...
Homework Statement
From Linear Algebra with applications 7th Edition by Keith Nicholson.
Chapter 9.2 Example 2.
Let T: R3 → R3 be defined by T(a,b,c) = (2a-b,b+c,c-3a).
If B0 denotes the standard basis of R3 and B = {(1,1,0),(1,0,1),(0,1,0)}, find an invertible matrix P such that...
Homework Statement
Two coordinate systems xyz ( fixed) and x0y0z0 (moving) coincide at time t = 0.
The moving system is rotating about the fixed z axis, which coincides with z0 axis. The angular velocity is given by ω = tk = tk0. The position vector as measured in the rotational frame is...