1. Let a,b,c,d be row vectors and form the matrix A whose rows
are a,b,c,d. If...
1. Let a,b,c,d be row vectors and form the matrix A whose rows
are a,b,c,d. If by a sequence of row operations applied to A we
reach a matrix whose last row is 0 (all entries are 0) then:
a. a,b,c,d are linearly dependent
b. one of a,b,c,d must be 0.
c. {a,b,c,d} is linearly independent.
d. {a,b,c,d} is a basis.
2. Suppose a, b, c, d are vectors in R4 . Then they form a...
1. Let A be the 2x2 matrix in M_{2x2}(C), whose first row is
(0,1) and second...
1. Let A be the 2x2 matrix in M_{2x2}(C), whose first row is
(0,1) and second row is (-1,0).
(a) Show that A is normal.
(b) Find (complex) eigenvalues of A.
(c) Find an orthogonal basis for C^2, which consists of
eigenvectors of A.
(d) Find an orthonormal basis for C^2, which consists of
eigenvectors of A.
MATLAB
Create a matrix E, using A and B vectors as row 1 and
row 2...
MATLAB
Create a matrix E, using A and B vectors as row 1 and
row 2 respectively
A = 10 thru 1
B = 1 thru 4.2 with ten equally spaced
elements
and
Find the indices (row and col) within E where (prob02a,
b, c, d)
E = 5
E > 4
E < 1.9
E > 1 and E < 2