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Linear Algebra

12/10/20

If 𝜆 is an eigenvalue for 𝐴 and 𝐴3=0 show that 𝜆=0

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Linear Algebra Math Algebra 1 Mathematics

12/08/20

I need help to solve this Linear Algebra's question. Can any one help me?

Q.6 The reduced row echelon form of a matrix A is:R = [1 2 0 −1 0 0 1 1 0 0 0 0]Determine A, given that the first and third columns of A area1 = [1 2 1]and a3 = [2 ... more

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Linear Algebra

12/06/20

Minimizing an equation that is subject to inequalities.

I am unsure of how to minimize the equation C = 3x + 7y that is subject to 4x + y ≥38, 2x + y ≥30, x + 3y ≥30, x ≥ 0, y ≥ 0 Thank you

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Linear Algebra Math Algebra 2 Algebra

12/01/20

Linear Algebra - Inner Product Spaces

The inner product on vector space of continuous functions on interval [a, b] is defined such that< f,g> := integrate[f(x)g(x) dx] from a to b Consider two functions x and x3. Which one is... more

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Linear Algebra Math Algebra Maths

11/30/20

Linear Independence of a Vector Space

Is the zero vector space v={0}, linearly independent. If so, why is that?

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Linear Algebra Math

11/24/20

Linear algebra-solving matrix

given the following linear system:k1x+k2z=2k1x+k1y+4z=4k1y+2z=k2Determine the values of k1 and k2 so that the system hasa. a unique solutionb. a set of solution with one free variablec. a set of... more

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Linear Algebra

11/24/20

Questions related to Eigenvalues with 2 repeated roots and Eigenvectors, please show me the steps on how to answer the repeated roots in the easiest way possible thank you.

Matrix of A (3x3) of the system AX = λXA = [6 -2 2] [-2 3 -1] [2 -1 3]a) Find the eigenvalues of Ab) Find the corresponding eigenvectors of A

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Linear Algebra

11/23/20

Jimmy is going to the store to buy candles. Small candles cost $3.50 and large candles cost $5.00. He needs to buy at least 20 candles, and he cannot spend more than $80.

Let x represent the number of small candles and y represent number of large candles. (a) Write a system of linear inequalities to represent the situation. (b) Identify 2 solutions to the system... more

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Linear Algebra

11/22/20

Orthogonal Projections and Orthonormal Basis

Question #1. a) For all mxn matrices A such that A^tA is invertible, show that P=A(A^tA)^-1A^t is an orthogonal projection. b) Explain why, if u is an nx1 unit column vector in Rn, part a) shows... more

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Linear Algebra

11/22/20

A local church purchases gospel tracts in boxes of 100. The table list the cost, including shipping and handling, of previous orders.

A local church purchases gospel tracts in boxes of 100. The table list the cost, including shipping and handling, of previous orders.Boxes Cost12 $80.759 $6221 $1371) Write a... more

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Linear Algebra Math Algebra 2 Algebra

11/20/20

Linear Algebra - Linear Independence / Dependence

Determine whether the polynomials,p1 = 1 - x , p2 = 5 + 3x - 2(x^2) , p3 = 1 + 3x - (x^2)are linearly dependent or linearly independent in P2.

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Linear Algebra

11/16/20

Find the matrix of the linear transformation 𝑇:ℝ3→ℝ3 which projects a vector onto the plane 𝑥−𝑦+2𝑧=0.

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Linear Algebra

11/15/20

Find the matrix of the linear transformation 𝑇:ℝ2→ℝ2 which reflects a vector into the line 𝑦=3𝑥.

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Linear Algebra Math Algebra 2 Maths

11/15/20

Linear Algebra - Linear Combination of Vectors

Consider the vectors u = (1, 2,-1) and w = (6, 4, 2) in R3, show that w = (9, 2, 7) isa linear combination of u and v and that w0 = (4, -1, 8) is not a linear combinationof u and v.

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Linear Algebra Math Algebra 1

11/12/20

Find the x and y-intercept

Find the x and y intercept of 12x - 15y = 30

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Linear Algebra Math Algebra 1 Slope Intercept Form

11/09/20

Need help with this question

A line as a slope of 4/7 and a passes through the point (-14, 3). Write an equation for the line.

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Linear Algebra Math Algebra Maths

11/09/20

Linear Algebra Question - Vector Spaces and Vector Subspaces

Can I have help with the following question related to the concept vector 'subspaces'?Question : Let X and Y be vector subspaces of a vector space V over a field F, (V,+,•,F).Prove that the... more

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Linear Algebra

11/09/20

Write equations of parallel and perpendicular lines

Write the equation of a line that is parallel to y=−32x−1y=−23x−1y, equals, minus, start fraction, 3, divided by, 2, end fraction, x, minus, 1 and that passes through the point (4,6)(4,6)left... more

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Linear Algebra Math Algebra 2 Algebra

11/08/20

Linear Algebra : Span of Vectors

Determine whether the following polynomials span P2:p1 = 1 - x + 2x2 ; p2 = 3 + x ; p3 = 5 - x + 4x2 ; p4 = -2 + 2x + 2x2

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Linear Algebra

11/06/20

graphing proportional and nonproportional relationships

the value of y varies directly with x. and y=-3 when x=0.75ive come up with the equation y=-4x How do you graph that on a coordinate plane

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Linear Algebra

11/05/20

Slope and graphs

Graph the slope of 5/3x

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Linear Algebra Math Calculus

11/04/20

Assume that 𝑢⋅𝑣=3, ‖𝑢‖=8, and ‖𝑣‖=4. What is the value of 8𝑢⋅(𝑢−9𝑣)?

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Linear Algebra

11/04/20

(10 pts) Calculate the coordinates of the vector x = (9, −17, −12)T with respect to a basis B in R 3 that consists of the vectors u = (−1, 0, −5)T , v = (3, −6, −3)T and w = (−3, 5, 1)T !

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Linear Algebra

11/04/20

Suppose that the line ℓ is represented by 𝐫(𝑡)=⟨14+2𝑡,17+4𝑡,36+8𝑡⟩ and the plane 𝑃 is represented by 2𝑥+4𝑦+6𝑧=6.

1. Find the intersection of the line ℓ and the plane 𝑃. Write your answer as a point (𝑎,𝑏,𝑐) where 𝑎, 𝑏, and 𝑐 are numbers. 2. Find the cosine of the angle 𝜃between the line ℓ and the normal... more

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Linear Algebra Math

11/04/20

Find the intersection of the line and plane: 2𝑥−4𝑦+𝑧=38, 𝐫(𝑡)=⟨2,−1,0⟩+𝑡⟨2,−2,−2⟩

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Answers •1

If 𝜆 is an eigenvalue for 𝐴 and 𝐴3=0 show that 𝜆=0

I need help to solve this Linear Algebra's question. Can any one help me?

Minimizing an equation that is subject to inequalities.

Linear Algebra - Inner Product Spaces

Linear Independence of a Vector Space

Linear algebra-solving matrix

Questions related to Eigenvalues with 2 repeated roots and Eigenvectors, please show me the steps on how to answer the repeated roots in the easiest way possible thank you.

Jimmy is going to the store to buy candles. Small candles cost $3.50 and large candles cost $5.00. He needs to buy at least 20 candles, and he cannot spend more than $80.

Orthogonal Projections and Orthonormal Basis

A local church purchases gospel tracts in boxes of 100. The table list the cost, including shipping and handling, of previous orders.

Linear Algebra - Linear Independence / Dependence

Find the matrix of the linear transformation 𝑇:ℝ3→ℝ3 which projects a vector onto the plane 𝑥−𝑦+2𝑧=0.

Find the matrix of the linear transformation 𝑇:ℝ2→ℝ2 which reflects a vector into the line 𝑦=3𝑥.

Linear Algebra - Linear Combination of Vectors

Find the x and y-intercept

Need help with this question

Linear Algebra Question - Vector Spaces and Vector Subspaces

Write equations of parallel and perpendicular lines

Linear Algebra : Span of Vectors

graphing proportional and nonproportional relationships

Slope and graphs

Assume that 𝑢⋅𝑣=3, ‖𝑢‖=8, and ‖𝑣‖=4. What is the value of 8𝑢⋅(𝑢−9𝑣)?

(10 pts) Calculate the coordinates of the vector x = (9, −17, −12)T with respect to a basis B in R 3 that consists of the vectors u = (−1, 0, −5)T , v = (3, −6, −3)T and w = (−3, 5, 1)T !

Suppose that the line ℓ is represented by 𝐫(𝑡)=⟨14+2𝑡,17+4𝑡,36+8𝑡⟩ and the plane 𝑃 is represented by 2𝑥+4𝑦+6𝑧=6.

Find the intersection of the line and plane: 2𝑥−4𝑦+𝑧=38, 𝐫(𝑡)=⟨2,−1,0⟩+𝑡⟨2,−2,−2⟩

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