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Linear Algebra
Page 2
Questions (909)
Find the inverse of the matrix
[1 2 3 1]
2 answers
asked by
Sinachi
88 views
State whether the following expressions using the cross product and dot product are vectors, scalars, or meaningless.
a•(b x c)
10 answers
asked by
vectors
101 views
If w is the vector projection o [2,-3,1] onto [1,2,5], find the components of w.
2 answers
asked anonymously
41 views
What is the scalar product of the radial and the tangential unit
vectors (𝑟̂.𝑡̂), (the unit of measuring each of them is
4 answers
asked by
Rama ^_^
126 views
Write the system as a matrix and solve it by Gauss-Jordan elimination. (If the system is inconsistent, enter INCONSISTENT. If
3 answers
asked by
Dee
1,781 views
Write the augmented matrix, and then solve the system, using Gauss Jordan elimination on the
augmented matrix. x + 2y - z = 4 -2x
2 answers
asked by
shawn
1,117 views
Prove that if B.N = 0 & A is on the plane {P(P-p1).N = 0} then the entire line {p:p = A+tB} lies in the plane
1 answer
asked by
asfaw
66 views
Prove that two non zero Vectors A anb B are perpendicular if and only if |A|≤|A + tB| for every number t
2 answers
asked by
asfaw
130 views
If U and W are subspaces of a vector space V, show that and are subspaces.
2 answers
asked by
Ayansa Dabesa soboka
65 views
Show that the following sets form subspaces
A)The set of all (x, y) in such that x = y B)The set of all (x, y) in such that x –
2 answers
asked by
Ayansa Dabesa soboka
86 views
a) Find all vectors that are orthogonal to E1 = (1, 0, 0)
b) Find all vectors that are orthogonal to both E1 and E3 = (0, 0, 1)
2 answers
asked by
Ayansa Dabesa soboka
80 views
Find a non-zero vector orthogonal to (1, 2, -1)
2 answers
asked by
Ayansa Dabesa soboka
63 views
Let V be a subspace of (3. What are the possible dimensions for V? Show that if
V ((3, then either V = {0}, or V is a straight
2 answers
asked by
Ayansa Dabesa soboka
61 views
What is the dimension of the space of 2 x 2 matrices? Give a basis for this space. Answer the same question for the space of n x
2 answers
asked by
Ayansa Dabesa soboka
54 views
Let V = {(a, b, c, d) ( (4: b – 2c + d = 0}
W = {(a, b, c, d) ( (4: a = d, b = 2c} Find a basis and dimension of a) V b) W c) V
2 answers
asked by
Ayansa Dabesa soboka
61 views
Find a basis and the dimension of the subspace of generated by
{(1, -4, -2, 1), (1, -3, -1, 2), (3, -8, -2, 7)}.
2 answers
asked by
Ayansa Dabesa soboka
67 views
Prove: The vectors (a, b) and (c, d) in the plane are linearly dependent if and only if ad – bc = 0
2 answers
asked by
Ayansa Dabesa soboka
64 views
Decide whether the following vectors are linearly independent or not (on ()
a) ((, 0) and (0, 1) b) (-1, 1, 0) and (0, 1, 2) c)
2 answers
asked by
Ayansa Dabesa soboka
63 views
What is projection vector
2 answers
asked by
Ayansa Dabesa soboka
38 views
Show that e1 = (2, 1, 0) and e2 = (1, 1, 0) form a basis of R3
2 answers
asked by
Ayansa Dabesa soboka
39 views
Prove that two non zero vectors A and B are perpendicular if and only if |A|< |A + tB| for every number t
2 answers
asked anonymously
72 views
Find the dimensions of the following
The space of n x n matrices all of whose elements are 0 except possibly the diagonal
2 answers
asked anonymously
86 views
What is the dimension of the space of 2 x 2 matrices? Give a basis for this space. Answer the same question for the space of n x
2 answers
asked anonymously
53 views
Show that the following sets form subspaces
The set of all (x, y) in such that x = y The set of all (x, y) in such that x – y =
2 answers
asked anonymously
72 views
Prove that two non-zero vectors A and B are perpendicular if and only if for every number t.
2 answers
asked anonymously
61 views
Find all vectors that are orthogonal to E1 = (1, 0, 0)
b) Find all vectors that are orthogonal to both E1 and E3 = (0, 0, 1) c)
2 answers
asked anonymously
47 views
This question is meant to serve as an answer to the following: If you sum two rank-1 matrices, do you get a rank-2 matrix? What
2 answers
asked anonymously
92 views
let U = ( 1,-2, 3) find the direction cosines of U
2 answers
asked anonymously
45 views
Let A1, A2, …, Ar be non-zero vectors such that Ai.Aj = o if .
Let c1, c2, …., cr be numbers such that c1A1+ c2A2+…..+ crAr
2 answers
asked by
Ayansa Dabesa soboka
39 views
Show that if and only if A.B=0
2 answers
asked by
Ayansa Dabesa soboka
33 views
Let A = (6, -2, 4). Find two vectors C and D which are parallel to A.
2 answers
asked by
Ayansa Dabesa soboka
81 views
Show that if and only if A.B=0?
2. Let A1, A2, …, Ar be non-zero vectors such that Ai.Aj = o if i is different from j. Let c1,
2 answers
asked by
Ayansa Dabesa soboka
51 views
What is the dot product of two vectors separated by 90 degrees
Select one: 60 0 45 1
4 answers
asked anonymously
95 views
The scalar product of unit vectors meeting at angle 0 degrees is __________
Select one: -1 1 –½ ½
3 answers
asked anonymously
79 views
Explain with the examples a examples of a cross product of a vectors
7 answers
asked by
Humphrey YAMBA
60 views
if i,j,k are the standard unit basic vectors, in 3 space, determine the value of
k dot(j-3k)+(i-4k) dot (i-4k)-8 |i cross -k|
6 answers
asked by
Tina
1,787 views
Use the triple scalar product to determine whether the given points lie in the same plane.
A(1, 2, 3), B(3, -4, 8), C(7, -1, 1),
4 answers
asked by
Jessica
2,599 views
For a given square matrix A the predicted values of matrix B are:
predicted B=A(A'A)^(-1)A'B why is the matrix C=A(A'A)^(-1)A' an
3 answers
asked by
Lisa
640 views
Find the steady state for the Markov matrix?
A=[ .2 .4 .3 .4 .2 .3 .4 .4 .4] Then calculate the limit of A^n = (0,20,0) as
1 answer
asked by
fatih
387 views
For which values of 'a' will the following system have no solutions? Exactly one solution? Infinitely many solutions?
x + 2y - 3z
4 answers
asked by
Linus
2,007 views
Let L1 be the line passing through the points Q1=(4, −1, −2) and Q2=(1, 0, −1) and let L2 be the line passing through the
4 answers
asked by
Excel
18,728 views
verify The set of all 2 × 2 invertible matrices with the standard matrix addition and scalar multiplication is a vector space
3 answers
asked by
tasbeer
2,394 views
Let $\bold{w} = \begin{pmatrix} 2 \\ -1 \end{pmatrix}$. There exists a $2 \times 2$ matrix $\bold{P}$ such that
\[\text{proj}_{\b
4 answers
asked by
Bob
1,490 views
which matrix represents the system of equations below -12x-13y+13z=15
6 answers
asked by
Samantha
5,019 views
Find all $2 \times 2$ matrices $\bold{A}$ that have the property that for any $2 \times 2$ matrix $\bold{B}$,
\[\bold{A} \bold{B}
3 answers
asked by
Bob
3,619 views
Let A, B, and 0 be 2x2 matrices. Assuming that A is invertible, find a matrix C such that
[A^-1|0 ] [C |A^-1] is the inverse of
1 answer
asked by
James
786 views
I need help for the Linear Algebra B Unit 2 test. Please help.
1. For the data in the table does Y vary directly with X? If it
6 answers
asked by
Noone
1,287 views
Given the matrix
A= a 6 5 a -8 8 7 9 a find all values of a that make |A|=0. Give your answer as a comma-separated list.
4 answers
asked by
ally
8,681 views
t) Let a , b , c and y be the three dimensional vectors
a =4j +2k ,b =−3i +4j +4k ,c =3i −j ,y =8i −7j Perform the
5 answers
asked by
Carl
2,982 views
Perform row operations on the augmented matrix as far as necessary to determine whether the system is independent, dependent, or
3 answers
asked by
GetYourLeash
2,330 views
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