Question

**If the matrix A is 4×2, B is 3×4, C is 2×4, D is 4×3,
and E is 2×5, what are the
dimensions of the following expressions**

**a) A^TD + CB^T**

**b) (B + D^T ) A**

**c) CA + CB^T**

Answer #1

8. Consider a 4 × 2 matrix A and a 2 × 5 matrix B .
(a) What are the possible dimensions of the null space of AB?
Justify your answer.
(b) What are the possible dimensions of the range of AB Justify
your answer.
(c) Can the linear transformation define by A be one to one?
Justify your answer.
(d) Can the linear transformation define by B be onto? Justify
your answer.

A (–4, –1, 2), B (3, –2, –1) and C (–1, 3, –4),
AB= 7? − ? − 3?
CB = 4? − 5? + 3?
AC = 3? + 5? - 2?
Question 7: Express the vector AC as the sum of two vectors: AC
= ? + ?, where ? is parallel to the vector CB and ? is
perpendicular to CB. Given that AC ∙ CB = −26 and that CB = √50,
determine the y-component of...

Let lst1 = '(a b c d e),
lst2 = '(1 2 3 4 5). The
proc function takes a list as input and
returns the middle element of the list. What will be the following
expression evaluate to:
(append (cons (first lst1) '())
(cons (cdddr lst1) '())
(cons (proc lst1) '())
(cons (proc lst2) '())
(cons (fifth lst1) '())
)
a.
'(a d e c 3 e)
b.
'(a d e c 3 d)
c.
'(a (d e)...

Consider the matrix A=
−2−2 6]
[−2−3 5]
[3 4−8]
[−7−9 18
(all one matrix)
(a) How many rows ofAcontain a pivot position?
(b) Do the columns ofAspanR4?
(c) Does the equationA ~x=~b have a solution for
every~b∈R^4?
(d) Would the equation A~x=~0 have a nontrivial solution?
(e) Are the columns of A linearly independent?
(~x is vector x)

2. Write the output matrix “v”
t = [2:4];
k = [1:3];
v = t.*k – k.^2
4. Given: D = [1 2 3 4 5 6 7 8 9] (3x3) . Which command will
extract the submatrix [1 2 3 4 5 6] (2x3) ?
a. D[1:2,1:3]
b. D(1,2 ;1,3)
c. [D(1:2),D(1:3)]
d. D(1:2,1:3)
14. What will be the dimension of matrix B?
B=[ones(3) zeros(3) rand(3); 2*eye(9)]
18. Find the value of “C”
A=1:2:10;
B=linspace(1,5,5);
C = length(A)*B(2)+A(5)*B(3);
19....

Let C = column matrix [1 2 3 1] and D = row matrix[−1 2 1 4] .
Prove that (CD)^10 is the same as C(DC)^9D and do the calculation
by hand.

LINEAR ALGEBRA
For the matrix B=
1 -4 7 -5
0 1 -4 3
2 -6 6 -4
Find all x in R^4 that are mapped into the zero vector by the
transformation Bx.
Does the vector:
1
0
2
belong to the range of T? If it does, what is the pre-image of
this vector?

Using this matrix.
A =
a
b
c
d
e
f
g
h
i
Suppose that det(A) = 5. Find the determinant of the
following matrix.
B =
a + 3g
b + 3h
c + 3i
-g
-h
-i
4d
4e
4f

For the reaction
A + 2 B + C → 3 D + 2 F
the following experimental data were obtained.
Experiment
[A] (M)
[B] (M)
[C] (M)
Rate (M/min)
1
0.10
0.10
0.10
2.0 x 10-5
2
0.10
0.10
0.30
6.0 x 10-5
3
0.20
0.10
0.10
8.0 x 10-5
4
0.10
0.40
0.10
2.0 x 10-5
Part #1:
Which represents the correct rate law?
A) Rate = k
[A]0[B]2[C]
B) Rate = k
[A]2[B]0[C]
C) Rate = k...

a = [-5, -3, 2] b = [1, -7, 9] c = [7, -2, -3] d = [4, -1, -9,
-3] e = [-2, -7, 5, -3]
a. Find (d) (e)
b. Find (3a) (7c)
c. Find Pe --> d
d. Find Pc --> a +2b
ex. C = |x|(xy/xy) C = xy/|x|
ex. P x --> y = Cux = C(xy/x) (1/|x|) (x) =( xy/yy)(y)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 4 minutes ago

asked 10 minutes ago

asked 19 minutes ago

asked 19 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago