the matlab code for the problem is as follows:
the output from the command window after running the above code is
Let the two vectors x & y and the matrix z be defined as follows 1.2...
The angle between two complex vectors x and y is defined as a = arccos Re(x, y) W(x,x)/(y,y) Recall that Re(z) denotes the real part of a complex number z =a+bi, so Re(z) = a. Find the angle a between the vectors x= / -6 -2i 1-4 – 6i) and y= 1-2 – 2i 1 1-6 - 2i a = arccos Be careful to use the correct product everywhere. This is not the dot product.
The angle between two complex vectors x and y is defined as a = arccos -seven ( Re(x,y) (x,x)/(y,y)) ) Recall that Re(z) denotes the real part of a complex number 2 = a + bi, so Re(z) = a. and Find the angle a between the vectors X= | -61 13+ 3i) -3+2i y= 1 1 (1+71) a = arccOS a = arccos ( Be careful to use the correct product everywhere. This is not the dot product.
How can I get the (a) 3*2 matrix A? x 7. [30pts] Let V be the subspace of R consisting of vectors satisfying x- y+z = 0 y (a) Find a 3x2 matrix A whose column space is V and the entries a a1 0 = (b) Find an orthonormal basis for V by applying the Gram-Schmidt procedure (c) Find the projection matrix P projecting onto the left nullspace (not the column space) of A (d) Find an SVD (A...
Let I, Y ER" be two nonzero n-dimensional vectors and define the n x n matrix A = ty eigenvalues of A are 0 and y's Show that the