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Linear Algebra
Page 7
Questions (909)
prove the vector projection of -v on v is -v using the vector projection formula.
1 answer
asked by
Stacy
370 views
Good morning,
I have this question: the matrix A = 0 6 4 12 i) show that it is invertable. ii)Find the equation of the image f(c)
1 answer
asked by
Mat
450 views
Q1.
Suppose A= ( -1 2 -3 -4 3 2 1 3 1 ), then the determinant of this matrix is? Q2. Suppose det ( 1 2 3 1 4 5 y 4 5)=0, then y=?
1 answer
asked by
RA
420 views
Suppose A = ( 6 9
-1 -4). Then the largest eigenvalue of A is? The smallest eigenvalue of A is?
1 answer
asked by
RA
320 views
Suppose v= (1
x) is a 3-eigenvector of A= (5 -1 6 0), then x=?
1 answer
asked by
RA
292 views
Hello, how can I proof the next theorem?
I have a linear transformation T(X) that can be express as T(X)=AX and A is an
1 answer
asked by
Mery
426 views
x+2y=0
x+3y+z=1 -4x-y-z=23
1 answer
asked by
Robert
233 views
(a) Use the triangle inequality: ||u + v|| <= ||u|| + ||v|| to prove that
(i) ||u - v|| <= ||u|| + ||v|| (ii) ||u|| - ||v|| <=
1 answer
asked by
Jacob
380 views
Find the matrix of the following transformations:
(a) Multiplication of the point (x, y, z) in ℝ^3 to give the point (x - y, y
1 answer
asked by
Jacob
381 views
Hi, well I have the next question:
How can I show that the sum of two eigen values is not another eigen value? I know that I can
1 answer
asked by
Alex
288 views
Can someone help me with this please.
A vector field in cylindrical polar co-ordinates is given by V = R Rˆ + R 3 s i n ( φ ) c
6 answers
asked by
Ariana
454 views
Hello, could anyone help me with this excersise of linear algebra, Please?
Well it's about linear transformation defined as
2 answers
asked by
Anthony
635 views
Let a = i - j + 2k and b = i + 2j - 4k
a) Find 2a - 3b This one was easy. It should be -i - 8j + 16k b) Hence find a value of m
1 answer
asked by
C
347 views
Given that a = i - j + 2k, b = i + 2j + mk and
c = 3i + nj + k, are linearly dependent. Express m in terms of n in simplest
2 answers
asked by
C
467 views
Hello, can anyone give me some help with these excersises?
1. Give an example of a linear transformation that is injective but
1 answer
asked by
Linear Algebra
422 views
Let V be the set of ordered pairs [a,b] of real
numbers. Decide with clear reason, whether or not V is a vector space over a
2 answers
asked by
...
651 views
Use gauss Jordan elimination method to find solution set of
4x+5y+3z=23 3x+2y+z=10 2x+5y-z=9
2 answers
asked by
legesse
671 views
For the matrix A below, find a value of k so that A has two basic eigenvectors associated with the eigenvalue λ = 3.
A = [−3
3 answers
asked by
Alistair
1,768 views
When using Gaussian elimination to solve a system of linear equations, explain how you can recognize that the system has no
2 answers
asked by
Anonymous
687 views
Can you check my answer?
If it is wrong can you please explain why and give the correct answer? Use Gaussian elimination to write
2 answers
asked by
Anonymous
520 views
find (a)2v+u, (b)u-3v), and (c)5u-v
u=<-2,-3> v=<-1,-10>
1 answer
asked by
Anonymous
334 views
Use the following vectors to answer the question.
u: <-1,7> v: <6,4> What is ||u||2?
1 answer
asked by
Anonymous
362 views
Let B be the set of vectors in R^3 given by
B = (1, 1, 0) , (1, 1, 1) , (0, 1, −1). 1. For x = (x1, x2, x3)^T a vector in R^3,
1 answer
asked by
CSCE
381 views
Let
v1 = (1, 0, −1) v2 = (0, 2, 2) v3 = (−3, 4, 7) and let W = Span{v1, v2, v3}. What is the dimension of W? Is it 2? Any
1 answer
asked by
Zabe
336 views
Let
v1 = (1, 0, −1) v2 = (0, 2, 2) v3 = (−3, 4, 7) and let W = Span{v1, v2, v3}. Show that W = Span{v1, v2}? How would I go
3 answers
asked by
Zabe
581 views
Let
v1 = (1, 0, −1) v2 = (0, 2, 2) v3 = (−3, 4, 7) and let W = Span{v1, v2, v3}. 1. Show that v3 is a linear combination c1v1
2 answers
asked by
Zabe
531 views
Given: u <-1, 7> and v <4, -3> Find: (u • v)(u + v)
1 answer
asked by
Iris
284 views
find the minors and cofactors of the matrix
[ -3 2 -8] 3 -2 6 -1 3 -6
1 answer
asked by
lottie
315 views
find the minors and cofactors of the matrix
[ -3 2 -8 ] 3 -2 6 -1 3 -6
1 answer
asked by
sophie
293 views
Find all (a) minors and (b) cofactors of the matrix
[ -3 2 -8 ] 3 -2 6 -1 3 -6
1 answer
asked by
laura
364 views
Solve the system by Gauss - Jordan elimination.
{ 1/3 x + 3/4 y - 2/3 z = -8 x + 1/2 y + 1/3 z = 18 1/6 x = 1/8 y - z = -24 a.
2 answers
asked by
laura
479 views
The matrix
FROM R D I [ 0.6 0.1 0.1] R P=[ 0.2 0.7 0.1] D TO [ 0.2 0.2 0.8] I To is called a stochastic matrix. Each entry pij (i
1 answer
asked by
Anie
473 views
Would k(a-b) x (a x c) -a +( b x c) be a scaler, vector or meaningless? (these are all vectors besides k)?
1 answer
asked by
Emily
267 views
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work.
4x
2 answers
asked by
Liz
478 views
For the following plane equations:
x + 2y + 3z = 1 2x + 5y + 3z = -1 x + bz = c Find all values of b and c such that all planes
2 answers
asked by
Joc
561 views
A is a diagonalizable matrix.
It has the characteristic polynomial det(lambda*I-A)=(lambda-c)^n. Prove that A=cI.
1 answer
asked by
Alex
409 views
1. What is the determinant of the matrix?
[5 6] [2 9] a. -33 b. 6 c. -6 d. 33 <---- my answer 2. What is the determinant of the
3 answers
asked by
Anastassia
1,088 views
Let T : Rn-->Rn be a linear transformation, whose standard matrix is invertible. Show that if B = {v1, . . . , vn} is a basis
1 answer
asked by
Alex
519 views
W= [ a , a+b ] (2x2 matrix)
[a-b , b ] a, b are element of R Show that W is a Subspace of M22?
1 answer
asked by
Wong
333 views
W= [ a , a+b ] (2x2 matrix)
a-b , b a, b are element of R Show that W is a Subspace of M22?
1 answer
asked by
Wong
400 views
a, b, c are 3 vectors such that |a|=2|b|=4|c| (|a|=modulus of a vector) and 2a-3b+6c=0 (a is a vector) then find cos(x) between
1 answer
asked by
Edward
375 views
Diagonalize the matrix A = [1,1;-2,4] using a similarity transformation. Give the transformation matrices such that (C^−1)AC =
2 answers
asked by
anon
786 views
Diagonalize the matrix A = [1,1;-2,4] using a similarity transformation. Give the transformation matrices such that (C^−1)AC =
1 answer
asked by
anon
452 views
Transform the matrix A=[5,−3;1,1], into a matrix B using the similarity transformation (C^−1)AC, with matrix
C=[3,1;1,1].
2 answers
asked by
anon
511 views
Let T be a linear operator on R2 defined as follows on the standard basis of R2. T(1, 0) = (3, 2), T(0, 1) = (−1, 4). Find
2 answers
asked by
Winston
509 views
Find the 3x4 matrix associated with the derivative transformation D:P3→P2 with respect to B = { 1, x, x2, x3} and B' = {1, x,
1 answer
asked by
Peter
360 views
Which linear system of equations does the matrix represent?
-3 5| 15 2 3| -10
3 answers
asked anonymously
108 views
True/False question
Suppose that A is a 2 x 3 matrix such that A[1, 1, 1]^t = [2, 3]^t = A[2, 3, 4]^t. Then [1, 2, 3]^t belongs
2 answers
asked by
Anon
529 views
Hi,
If it asks you to create a 3x3 matrix that spans R^3 so that there is a solution for every b, how do I go about choosing
1 answer
asked by
Kylo Ren
397 views
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
1 answer
asked by
draven
351 views
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Algebra
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