1,954 Answered Questions for the topic linear algebra

Linear Algebra English Linear Equations

05/06/20

Linear algebra question

Show that the following sets of vectors of R3 are linearly independentand span R3:(a) S1 = {(1, 2, 3),(3, 2, 1),(0, 0, 1)}.(b) S2 = {(3, 0, −6),(−4, 1, 7),(−2, 1, 5)}.
Follows • 1
Expert Answers •1
Linear Algebra Vector Space

05/05/20

proof orthogonal nonzero vectors
Show that if x,y,z are orthogonal nonzero vectors in R3 , then form a basis for R3
Follows • 1
Expert Answers •1
Linear Algebra

05/05/20

Are any of these vector spaces and if not why not.
a. The set {(x, .5x), where x is a real number} with standard operations for addition and scalar multiplication. b. The set of all 2x2 matrices of the form [ 𝑎 𝑏] ... more
Follows • 1
Expert Answers •1
Linear Algebra

05/04/20

what is the size of the width?
The side length of a rectangle is 3 less than double the width. if the side length of the rectangle is 127 cm, what is the size of the width?
Follows • 1
Expert Answers •1
Linear Algebra

05/02/20

Linear Combination

We define the 2x2 matrixA = ( 3 5 ) 2 2If we multiply A and a vector u, we get a vector Au which can be seen as a linear combination of 2 vectors : except for the canonical basis, what... more
Follows • 1
Expert Answers •1
Linear Algebra Math Algebra 1 Algebra

05/01/20

Functions Question
g(x) = 500^2 + 30x represents which kind of function?a. linearb. exponentialc. quadratic
Follows • 1
Expert Answers •1
Linear Algebra Linear Equations

04/30/20

Determine the equation of the line with a y-intercept of 6 and crosses through point (-3, 12)
Follows • 1
Expert Answers •1
Linear Algebra

04/29/20

Solve the system by substitution. y=-2x+1 -9x-2y=3

Follows • 1
Expert Answers •1
Linear Algebra Math

04/27/20

what is x if 3x/5 - 2x/3 = 1
Follows • 1
Expert Answers •1
Linear Algebra

04/25/20

Linear Algebra Proof 5
A path between two elements A and B in a vector space V is defined to be a continuous function: P(t) on 0 ≤ t ≤ 1 with P(0) = A and P(1) = B. A set in a vector space is called connected if every... more
Follows • 1
Expert Answers •1
Linear Algebra

04/25/20

Linear Algebra Proof 3
Let v ∈ Rn be a unit vector. Define G = I - vvT .(a) Show G is symmetric and G2 = G.(b) Prove v is an eigenvector, find the associated eigenvalue.(c) Prove that if < u; v >= 0 then u is also... more
Follows • 1
Expert Answers •1
Linear Algebra

04/25/20

Linear Algebra Proof 2
You are told that a certain 2 x 2 matrix A has eigenvalues λ1 = 2 and λ2 = -1, with associated eigenvectors v1 = [1,1]T , v2 = [1,2]T .(a) Find the matrix A.(b) Find a closed formula for An for... more
Follows • 1
Expert Answers •1
Linear Algebra Math Calculus

04/24/20

If f ( x ) is a linear function, f ( − 3 ) = − 1 , and f ( 4 ) = 1 , find an equation for f ( x )
Follows • 1
Expert Answers •1
Linear Algebra Math Precalculus

04/24/20

Compounded Interest Daily
How long will it take to build $1000.00 to at least $7500.00 at 9% compounded daily? How many years? How many days?
Follows • 1
Expert Answers •3
Linear Algebra

04/24/20

linear equation word problems
I need to write linear equations for the hotdog and the cheesburgers or I need to solve them.At the baseball game the Kacanich family purchased 3 hot dogs and 2 cheeseburgers and paid $31.25. The... more
Follows • 0
Expert Answers •1
Linear Algebra

04/23/20

Math question for Algebra
3x-2y=-5 must be written in a table and ordered pairs. I've been trying to figure this out for aboutteo nights now
Follows • 1
Expert Answers •1
Linear Algebra Math Matrix

04/22/20

Find the dimensions of the following vector spaces
Find the dimensions of the following vector spaces.(a) The vector space of all upper triangular 4x4  matrices (b) The vector space of all diagonal 5x5  matrices (c) The vector space  R^(6x7)(d) The... more
Follows • 1
Expert Answers •1
Linear Algebra Math Matrix

04/21/20

Suppose that T is a linear transformation such that
Suppose that  is a linear transformation such thatT(1,-2)=(8,-4) , T(-2,-1)=(-1,8)Write T  as a matrix transformation.the linear transformation T is given by [ , ][ , ]
Follows • 1
Expert Answers •1
Linear Algebra Math Matrix

04/21/20

Find the quadratic polynomial whose graph goes through the points
Find the quadratic polynomial whose graph goes through the points (-2,10) (0,6) (1,13)f(x)=__x^2+__x+__i know the we substitute x and you to the equation and we get that c=6 but what do we do after?
Follows • 1
Expert Answers •1
Linear Algebra

04/16/20

Representing a matrix in its "natural" space
Hi there,Any n*m matrix defines two vector spaces. The row space and the column space, and these both have the same dimensionality r, which is the rank of the matrix. Is there a way to represent... more
Follows • 1
Expert Answers •1
Linear Algebra Algebra 1 Algebra

04/15/20

The linear transformation T:Rn→Rm is defined by T(v)=Av.Find:-
the dimensions of Rn and Rm. 1-A= ⌈ 0 1 -2 1⌉ -1 4 5 0 ⌊ 0 1 3 1⌋. 2-A= ⌈ 1 2 ⌉ -2 4 ⌊-2 2 ⌋.
Follows • 1
Expert Answers •1
Linear Algebra Algebra 1 Algebra

04/15/20

Let T:R3→R3 be a linear transformation such that T(1,0,0)=(2,4,-1),T(0,1,0)=(1,3,-2),and T(0,0,1)=(0,-2,2) Find :-
1-T(0,3,-1)---------------------
Follows • 1
Expert Answers •1
Linear Algebra Algebra 1 Algebra

04/15/20

Determine whether the fuction is a linear transformation(explain):-
1-T:R2→R2,T(x,y)=(x,1) 2-T:R3→R3,T(x,y,z)=(x+y,x-y,z)
Follows • 2
Expert Answers •1
Linear Algebra Algebra 1 Algebra

04/15/20

use function to find (a) the image of v and (b) the preimage of w:-
1-T(v1,v2)=(v1+v2,v1-v2),v=(3,-14),w=(3,19) 2-T(v1,v2,v3)=(v2-v1,v1+v2,2v1),v=(2,3,0),w=(-11,-1,10)
Follows • 1
Expert Answers •1
Linear Algebra Algebra 1 Algebra

04/15/20

The linear transformation T is defined by T(x)=Ax.Find (a) ker(T), (b) nullity(T), (c) range(T), (d) rank(T):-
A= ⌈ 4 1 ⌉ 0 0 ⌊ 2 -3⌋
Follows • 1
Expert Answers •1

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.