A =
(1 −7 5 0
0 10 8 2
2 4 10 3
−4 8 −9 6)
(1) Count the number of rows that contain negative
components.
(2) Obtain the inverse of A and count the number of columns that
contain even number of positive components.
(3) Assign column names (a,b,c,d) to the columns of A.
(4) Transform the matrix A into a vector object a by stacking
rows.
(5) Replace the diagonal components of A with (0,0,2,3). Hint:...
Suppose that ? is the intersection of the plane ?+?+3?=4 and the
surface ?^2−?^2=?^2−8 . Note that this intersection contains the
point (3,4,−1) . Verify the assumptions of the implicit function
theorem at this point; then if ?(?)=(?,?) φ ( x ) = ( y , z ) be
the function from ℝ→ℝ2 R → R 2 verifying the conclusion of the
implicit function theorem, compute ??(3) J φ ( 3 ) using the
theorem. Verify your conclusion by explicitly...
given the sequences
x1 = [2, 6, -4, 1]
x2 = [8, 0, 2, 0, -9, 0, 1, 0]
x3 = [2, 0, -8, -8, 2]
x4 = [0, 1, 5i, 0, 6i, 0]
x5 = [9, 3, 7]
plot the
1. DFT magnitude of the computed sequences in MATLAB
2. phase responses in degrees and radians against frequency and
number of samples
3. comment on the plots
DATA 2
ID
X1
X2
X3
Y
A
0
2
4
9
B
1
0
8
10
C
0
1
0
5
D
1
1
0
1
E
0
0
8
10
CORRELATION MATRIX
Y
X1
X2
X3
Y
1
?
-0.304
+0.889
X1
?
1
-0.327
0
X2
-0.304
-0.327
1
-0.598
X3
+0.889
0
-0.598
1
1. What is the sum of squares regression for the full model?
(Correct answer is 58, please show me how to get...
DATA 2
ID
X1
X2
X3
Y
A
0
2
4
9
B
1
0
8
10
C
0
1
0
5
D
1
1
0
1
E
0
0
8
10
CORRELATION MATRIX
Y
X1
X2
X3
Y
1
?
-0.304
+0.889
X1
?
1
-0.327
0
X2
-0.304
-0.327
1
-0.598
X3
+0.889
0
-0.598
1
Comparing the zero order model and full
model
1. Did the addition of X2 and X3
significantly increase R2? (correct answer is...
The surface z = 3x^(2) + (1/6)x^(3) - (1/8)x^(4) - 4y^(2) is
intersected by the plane 2x - y = 1. The resulting intersection is
a curve on the surface. Find a set of parametric equations for the
line tangent to this curve at the point (1,1,-23/24).