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Linear Algebra

12/16/20

What is 27 less than four times a number is equal to the number? What is the number?

simple algebra =, but I really am struggling with it.

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Linear Algebra

12/16/20

linear word problem

Two numbers differ by 7. The larger number is 11 less than twice the smaller number. What are the two numbers?

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Linear Algebra Matrices Linear Transformation Diagonalizable

12/16/20

Please, help-me with this Linear Algebra question

If T:R4→R4 is an linear transformation and pT(t) a characteristic polynomial of T, which of these options T is diagonalizablea) pT(t) = t^4 - 1 b) pT(t) = t^3(t + 2) c) pT(t) = t^2(t^2 - 1) d)... more

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Linear Algebra

12/15/20

𝑢 and 𝑣 are two vectors such that ‖𝑢+𝑣‖=5 and ‖𝑢−𝑣‖=1. Find 𝑢⋅𝑣.

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Linear Algebra Math Algebra 2

12/15/20

How would you answer this? Regarding the Quadratic Formula

What can the inside of the square root tell you about your answer? The inside of the square root is known as the discriminant.

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Linear Algebra Math Maths Mathematics

12/12/20

Linear Algebra : Spanning Sets

It is given that the vectors v1=[ 1 0]^T and v2 = [ 0 1]^T span the full two-dimensional space R^2(R - set of real numbers)Also it is given that the vectors v1=[1 0]^T , v2 = [0 1]^T and v3 = [4 ... more

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Linear Algebra Calculus Trigonometry

12/10/20

kindly solve this

You know you have an income, but are you meeting expenses? You earn 20 dollars per hour working a variable number of hours each month, and you typically receive a 1200 dollar IRS refund each year.... more

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Linear Algebra

12/10/20

In a 3×3 matrix 𝐴, the sum of the elements in each row is 2020. Show that 2020 is an eigenvalue of 𝐴.

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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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What is 27 less than four times a number is equal to the number? What is the number?

linear word problem

Please, help-me with this Linear Algebra question

𝑢 and 𝑣 are two vectors such that ‖𝑢+𝑣‖=5 and ‖𝑢−𝑣‖=1. Find 𝑢⋅𝑣.

How would you answer this? Regarding the Quadratic Formula

Linear Algebra : Spanning Sets

kindly solve this

In a 3×3 matrix 𝐴, the sum of the elements in each row is 2020. Show that 2020 is an eigenvalue of 𝐴.

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

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Linear Algebra Question - Vector Spaces and Vector Subspaces

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