1,975 Answered Questions for the topic linear algebra

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
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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
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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 )
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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?
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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
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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
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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
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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 [ , ][ , ]
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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?
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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
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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 ⌋.
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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)---------------------
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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)
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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)
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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⌋
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Linear Algebra Algebra 1 Algebra

04/15/20

The linear transformation T is represented by T(v)=Av.Find a basis for (a) the kernel of T and (b) the range of T:-
A= ⌈ 1 2⌉ ⌊ 3 4 ⌋
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Linear Algebra Algebra 1 Algebra

04/15/20

find the kernel of the linear transformation :-
1-T:R3→R3,T(x,y,z)=(0,0,0)2-T:R3→R3,T(x,y,z)=(x,0,z)3-T:R3→R3,T(x,y,z)=(z,y,x)4-T:R2→R2,T(x,y)=(x-y,y-x)
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Linear Algebra Algebra 1 Algebra

04/14/20

Whats the answer for these linear transformations questions?
Q1: 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) Q2:determine whether the... more
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Linear Algebra Algebra 1 Algebra

04/14/20

Whats the answer for these karnel and range of a linear transformation questions?
Q1:find the kernel of the linear transformation. 1-T:R3→R3,T(x,y,z)=(0,0,0) 2-T:R3→R3,T(x,y,z)=(x,0,z) 3-T:R3→R3,T(x,y,z)=(z,y,x) 4-T:R2→R2,T(x,y)=(x-y,y-x) Q2:the linear transformation T is... more
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Linear Algebra

04/14/20

isomorphism and inverse

Let T : R2 → R2 be the linear transformation T(x, y) = (2y−x,3y−x) Compute the value of the inverseT-1 (3,3)=?
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Linear Algebra Algebra 1 Algebra

04/13/20

Whats the answer for these eigenvalues and eigenvectors questions?
Q1:verify that λi is an eigenvalue of A and xi is a corrcsponding eigenvector.1-A=⌈ 1 0 ⌉ ⌊ 0 -1⌋λ1 = 1, x1 = (1,0)λ2 =-1,x2 = (0,1)2-A=⌈ 4 -5 ⌉ ⌊ 2 -3 ⌋λ1 = -1, x1 = (1,1)λ2 =... more
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Linear Algebra Algebra 1 Algebra

04/13/20

Whats the answer for these karnel and range of a linear transformation questions?
Q1:find the kernel of the linear transformation.1-T:R3→R3,T(x,y,z)=(0,0,0)2-T:R3→R3,T(x,y,z)=(x,0,z)3-T:R3→R3,T(x,y,z)=(z,y,x)4-T:R2→R2,T(x,y)=(x-y,y-x)Q2:the linear transformation T is represented... more
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Linear Algebra Algebra 1 Algebra

04/13/20

Whats the answer for these linear transformations questions?
Q1: 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)Q2:determine whether the... more
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Linear Algebra Algebra 1 Algebra 2 Algebra

04/12/20

graphing inverse
with the given points (4,2) (2,-1) (-2,-2) find the reflection of the original graph.
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Linear Algebra Calculus Geometry Algebra

04/10/20

Vector question.
Problem: A plane is set to head due east at 300 mph, but it is being pushed off course by a crosswind blowing south at 60mph. At 9AM the plane is located at point A(10,70)  and at 10AM the plane is... more
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