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Linear Algebra
Page 8
Questions (909)
I was wondering if you have a matrix (AB)t
does matrix A and B both become transposed? like A^t and B^t? thank you
3 answers
asked by
draven
358 views
Given the vectors a= (-1,9) and b= (4,2) explain the difference between a-b and b-a. Thank you for your help! :)
1 answer
asked by
Rachel
339 views
Determine which of the following mappings are linear mappings.
A. The mapping L defined by L(x_1, x_2 ) = (4x_1- 2x_2, 3 |x_2|).
2 answers
asked by
John
549 views
Determine the standard matrix A of the linear mapping L:R^2-->R^2 that rotates any vector through an angle of 150 degrees in the
1 answer
asked by
John
441 views
Determine the standard matrix D of the linear mapping G: R^2--R^2 that first rotates points clockwise through pi/6 radians and
1 answer
asked by
John
415 views
Let L be the line with parametric equations
x = −5+2t y = −7−3t z = 9−2t Find the vector equation for a line that passes
1 answer
asked by
vektor
602 views
How to slove scalar products of four vector s
1 answer
asked by
pivo
372 views
determine whether x=[2,3,4]+t1[1,1,1]+t2[1,2,3] is a subspace of R3
I honestly don't even know where to start. Please, help
1 answer
asked by
Lid
393 views
Consider the system of equations A ⊗ x = b where
(i) A ∈ R m×n max , x ∈ R n max, b ∈ R m max and Rmax = R ∪ {−∞},
1 answer
asked by
twnkal eshaal
409 views
Problems solving with Matrices
[-3 1] * [ 4 7 0] 2 5 -3 -5 1 I'm stuck with this matrices. Please help me~~
1 answer
asked by
Helen
431 views
Can someone please help me. I am not sure to work the following matrices.
If A^4 = -3 4 -4 5 and A^5= 4 -5 5 -6 What is A? Can
1 answer
asked by
Katy
322 views
5. Let A = 1 4
2 3 and B = 3 -2 4 6 calculate the entry in the second row, second column in AB
1 answer
asked by
Stephanie
395 views
Pivot the matrix about the element 4
1 3 5 5 4 2
1 answer
asked by
Amanda
336 views
Given B =
0 1 0 0 0 1 1 0 0 , show that B^3 = I
1 answer
asked by
Neil
269 views
Find the inverse of each of the following orthogonal matrices.
A= [1 0 0 0 cos(theta) sin(theta) 0 -sin(theta) cos(theta)]
3 answers
asked by
kat
452 views
Find the inverse of each of the following matrices, if possible
[i 3 1+i -i]
5 answers
asked by
Anonymous
749 views
Solve the system of equations using matrices. Use Gaussian elimination with back- substitution.
x+y+z = -5 x-y+3z = -1 4x+y+z =
1 answer
asked by
Ciara
506 views
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work.
4x-
7 answers
asked by
Ciara
572 views
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
x + y + z = 9 2x -
16 answers
asked by
Ciara
823 views
Find the inverse of the matrix, if possible.
A = { 0 -6 } {-2 -5} A. 0 -1/2 -1/6 5/12 B. -1/6 0 5/12 - 1/2 C. 5/12 - 1/2 -1/6 0
6 answers
asked by
Ciara
350 views
Use the Gram-Schmidt process to transform the basis
1 1 1 , 0 1 1 , 2 4 3 for the Euclidean space R3 into an orthonormal basis
4 answers
asked by
sara
560 views
PART B (10 points possible)
Consider the operator S on an n-dimensional complex vector space so that
1 answer
asked by
JuanPro
421 views
Consider the left shift operator on the space of infinite sequences of complex numbers:
L(z1,z2,…)=(z2,z3,…). Is L injective?
1 answer
asked by
JuanPro
484 views
Given two data points in 2 dimensions:
\displaystyle \displaystyle \mathbf{x}^{(1)} \displaystyle = \displaystyle (x^{(1)},
3 answers
asked anonymously
42 views
Let \Sigma denote a covariance matrix for some random vector \mathrm{{\boldsymbol X}} \in \mathbb {R}^ d. (Assume that \mathbf
3 answers
asked anonymously
40 views
A matrix P \in \mathbb {R}^{d \times d} is orthogonal (sometimes referred to as a rotation matrix ) if P P^ T = P^ T P = I_ d.
3 answers
asked anonymously
45 views
Consider the statistical set-up from the previous problem. In particular, recall that \mathbf{u}= \frac{1}{\sqrt{5}} (1,2)^ T
3 answers
asked anonymously
48 views
Let \mathrm{{\boldsymbol X}}_1, \ldots , \mathrm{{\boldsymbol X}}_ n \in \mathbb {R}^ d denote a data set and let
\mathbb {X} =
3 answers
asked anonymously
39 views
As in the previous problem, we consider the matrix
H = I_ n - \frac{1}{n} \mathbf{1} \mathbf{1}^ T and for simplicity let n = 3.
3 answers
asked anonymously
35 views
Use the Gram-Schmidt process to transform the basis
[1 1 1] , [0 1 1] , [2 4 3] for the Euclidean space R3 into an orthonormal
1 answer
asked by
sara
525 views
Find the spectral decomposition of the \mathbf{S}. That is, find the eigenvalues and their corresponding eigenvectors.
Enter the
3 answers
asked anonymously
45 views
Find the spectral decomposition of the \mathbf{S}. That is, find the eigenvalues and their corresponding eigenvectors.
Enter the
3 answers
asked anonymously
43 views
We will now work through an example where the principal components cannot easily determined by inspection.
Given 4 data points in
3 answers
asked anonymously
40 views
Hi! I need help with this question. Thanks!
Directions: To solve these problems, you need to find the inverses of these 2x2
1 answer
asked by
Katy
383 views
For any two vectors u and v show that :
( Vector u.vector v )^2 = [(vector u× vector v)×vector v ].vector u = u^2v^2
1 answer
asked by
gourav
361 views
let V=R^3 and S={u1,u2,u3}=[1;2;0],[1;0;0],[1;0;1] These are three vectors 1 by 3
use gschmidt to obtain an orthogonal basis and
1 answer
asked by
kirsten
433 views
Solve using the concept of rank.
Is S={−16 −7 −21,2 1 3, 21 9 2} a linearly independent set of vectors in R3? So I know how
1 answer
asked by
sam
434 views
For any two vectors u^ and v^ show that:
(u^.v)^2-[(u^×v^)].u^= u^2v^2
1 answer
asked by
gourav
372 views
I just want to make sure my reasoning is correct.
Let A be a 7X3 matrix whose rank is 3 a)are the rows of A linearly dependent or
1 answer
asked by
kirsten
878 views
If A=(aij) and B=(bij) are arbitrary square matrices of order 2, show that |AB|=|A||B|?
I don't understand how to start this
2 answers
asked by
Anonymous
525 views
determine if v1= [ 2 1 0] v2=[ -1 1 3] v3=[ 0 -1 6] spans the vector space of rows with three real entries which has dimension
2 answers
asked by
kirsten
543 views
Is the set S = {v1, v2, . . . , vk} linearly independent?
1 0 2 −2 0 1 0 0 1 0 −1 −1 2 0 0 0 −1 2 1 0
1 answer
asked by
sam
371 views
1 0 2 −2 0
1 0 0 1 0 −1 −1 2 0 0 0 −1 2 1 0 Is the set S = {v1, v2, . . . , vk} linearly independent?
1 answer
asked by
sam
383 views
Expand to the general case to explore how the cross product behaves under scalar multiplication k (a x b) = (ka) x b = a x (kb).
2 answers
asked by
Teejay
589 views
how is this not a subspace of R3?
The set of all vectors of the form a b c , where a > 0.
1 answer
asked by
sara
333 views
Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-sapce
2 answers
asked by
Sheliza
502 views
Verify (Vector a + Vector b) × (Vector a + Vector b) = 0⃗ . What can be said about two vectors whose cross product is the
1 answer
asked by
Adiana
615 views
Use a specific example to explore how the cross product behaves under scalar multiplication. Is it true that k(Vector a ×
1 answer
asked by
Adiana
675 views
Use a specific example to prove that the cross product is also not associative. That is, use three specific vectors in 3-sapce
1 answer
asked by
Adiana
650 views
Which of the given subsets of R3 are subspaces?
(a) The set of all vectors of the form [a;b;0] b)The set of all vectors of the
1 answer
asked by
kirsten
522 views
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Parent Categories (5)
Algebra
Calculus
Geometry
Math
Mathematics