1,954 Answered Questions for the topic linear algebra

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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Linear Algebra Geometry

04/08/20

Matrix diagonalizability
Consider the 4x4 matrixA = [1 2 4 0 0 -1 1 7 0 0 0 6 0 0 0 7]Is this matrix diagonalizable? Why or why not.
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Linear Algebra Math Calculus Geometry

04/08/20

Prove that T is a linear operator
Let T:R2→R2 be the function defined by T(〈x,y〉) = 〈-y,x〉.Hint: We want to show T(u + v) = T(u) + T(v) and T(λu) = λT(u) For all u,v ∈ R2 and λ ∈ R.
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Linear Algebra Math Algebra 1 Algebra 2

04/07/20

What kind of transformation converts the graph of f(x)=|x|+9 into the graph of g(x)=4|x|+9?
There is only one correct answer. The answer options are..Horizontal stretchvertical stretchhorizontal shrinkvertical shrinkits asking which one of these transformations/dilations makes the first... more
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Linear Algebra Math Algebra 1 Algebra 2

04/07/20

What kind of transformation converts the graph of f(x)=9x^2–9 into the graph of g(x)=x^2–1?
There is only one right answer.Here are the options...Vertical stretchvertical shrinkhorizontal stretchhorizontal shrink
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Linear Algebra Math Algebra 1 Algebra 2

04/07/20

What kind of transformation converts the graph of f(x)=|x|–1 into the graph of g(x)=8|x|–8?
The answer options are...horizontal shrinkhorizontal stretchvertical stretchvertical shrinkIts asking which one of these transformations above makes the first equation convert into the second one.
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Linear Algebra Algebra 1 Algebra

04/07/20

Whats the answer for these subspaces of vector spaces questions :
Q1:verify that W is subspace of V.In each caes,assume that V has the standard operations.1.W={(x1,x2,x3,0): x1,x2, and x3 are real numbers}V = R42.W={(x,y,2x-3y): x and y are real numbers}V = R33.W... more
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Linear Algebra

04/07/20

A copy machine makes 24 copies per minute how many copies does it make it four minutes and 45 seconds?
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Linear Algebra

04/07/20

A cab company charges $5 per cab ride, plus an additional $2 per mile driven. how long is a cab ride that costs $205?
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Linear Algebra

04/07/20

Whencompletinganonlineshoppingtransaction,atypicalshoppertakes14secondstoselecteachproductandanother20secondstocompletethecheck-outprocess.Howlongdoesittaketocompleteatransactionwith8products?
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Linear Algebra Math Algebra 2 Algebra

04/07/20

What kind of transformation converts the graph of f(x)= – 4x–3 into the graph of g(x)= – x–3?
Please answer this for me! I have been struggling for hours. It has to be either a vertical stretch or horizontal shrink!
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Linear Algebra Algebra 1 Algebra

04/06/20

Whats the answer for these vector in Rn questions :
Q1:let u = (1,2,3). v = (2,2,-1).and w = (4,0,-4).1.Find u - v and v - u.2.Find u - v + 2w.3.Find 5u -3v - 1/2w.4.Find z, where 2u + v -w + 3z = 0.
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Linear Algebra Algebra 1 Algebra

04/06/20

Whats the answer for these vector spaces questions :
Q1:determine whether the set, together with the indicated operations. Is a vector space.If it is not,identify at least one of the ten vector space axioms that fails.1.The set {(x,y): x ≥ 0, y is a... more
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Linear Algebra Algebra 1 Algebra

04/06/20

Whats the answer for these Spanning sets and linear independence questions :
Q1:determine whether each vector can be written as a linear combination of the vectors in S.1.S={(2,-1,3),(5,0,4)}a) u=(1,1,-1). b) v=(8,-1/4,27/4).c) w=(1,-8,12). d)... more
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Linear Algebra Algebra 1 Algebra

04/06/20

Whats the answer for these Basis and dimension questions :

Q1:Explain why S is not a basis for R2 :1.S={(-4 , 5),(0 , 0)}2.S={(-3,2)}Q2:Explain why S is not a basis for R3:3.S={(1,3,0),(4,1,2),(-2,5,-2)}4.S={(1,1,2),(0,2,1)}
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Linear Algebra Math Matrix

04/06/20

Find formulas for the entries of M^n, where n is a positive integer.
M=[8 1] [-2 5]Find formulas for the entries of M^n , where n is a positive integer.i've got [-6^n+2*7^n -2*6^n+2*7^n] [6^n-7^n 2*6^n-7^n]but 1x2 and 2x1 are incorrect
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