Consider the magic matrix:
A = np.array([[17, 24, 1, 8, 15],
[23,
5, 7, 14, 16],...
Consider the magic matrix:
A = np.array([[17, 24, 1, 8, 15],
[23,
5, 7, 14, 16],
[
4, 6, 13, 20, 22],
[10,
12, 19, 21, 3],
[11,
18, 25, 2, 9]])
The matrix A has 5 row sums (one for each row), 5 column
sums (one for each column) and two diagonal sums. These 12 sums
should all be exactly the same. Verify that they are the same by
printing them and “seeing” that they are the same.
Apply the row operation R1 + 2R3 → R1 on the following
matrix:
2...
Apply the row operation R1 + 2R3 → R1 on the following
matrix:
2 −3 1 4
2 0 6 −5
1 −1 1 0
−→
(h) True or False: The point (2, 1) is in the following feasible
region:
x + 2y ≤ 5, 5x − 6y < 7, and x ≥ 0, y ≥ 0.
(i) True or False: (x = −1, y = 2, z = 3) is a solution to the
following...
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...
U is a 2×2 orthogonal matrix of determinant −1 . Find 37⋅[0,1]⋅U
if 37⋅[1,0]⋅U=[35,12].
U is a 2×2 orthogonal matrix of determinant −1 . Find 37⋅[0,1]⋅U
if 37⋅[1,0]⋅U=[35,12].