1,975 Answered Questions for the topic linear algebra

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.
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.
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
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
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.
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
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!
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.
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
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
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)}
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
Linear Algebra

04/04/20

Linear equation help

I want to write a linear equation that can be used to calculate the total rental car cost (RC) for any number of days. Use the variable ‘D’ for the number of days to rent the car.​

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