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Linear Algebra Math Prealgebra Precalculus

10/26/20

The population of a small town is growing at a constant rate. (Please show me step by step)

The population of a small town is growing at a constant rate. In 2007 the population was 15,400 and in 2013 the population was 22,600.Part A: Use the data points (7, 15400) and (13, 22600) to write... more

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Linear Algebra

10/26/20

What is the common difference in the arithmetic sequence -3, -1, 1, 3

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Linear Algebra Algebra Linear Equations

10/26/20

Linear Relationships in Point Slope Forn

An athlete has decided to track how many minutes the exercise each day. During the first day, the athlete exercised for 30 minutes. For each day after that, the athlete increased their exercise... more

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Linear Algebra Complex Numbers

10/23/20

determine the complex solutions of the equation

(z+4)3 = -8i

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Linear Algebra Complex Numbers

10/23/20

determine the complex solutions of the equation

(z+4)3 = -8i

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Linear Algebra

10/23/20

What is the area of triangle bounded by the x-axis, the y-axis, and the line y=−4x+4?

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Linear Algebra Algebra 1 Geometry

10/22/20

Can you help me create a linear model?

I'm trying to help my son with algebra and he got the following problem. His in the 8th grade, but they are having him do HS algebra and he's having a difficult time.The U.S. population in 1910... more

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Linear Algebra Geometry Translation Matrices

10/21/20

Find the matrix that performs this translation.

This problem will walk through the process of rotating by 90 degrees counterclockwise around the point (3, 5). Our strategy for rotation around the point (3, 5) will be to begin with a vector whose... more

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Linear Algebra

10/17/20

Find all values of c1 and c2 such that: c1(2, 2, 1) + c2(1,-2,2) = (3,6,0)

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Linear Algebra Algebra 1

10/16/20

Proofs for symmetric matrices and skew-symmetric matrices

A square matrix 𝐶C is called skew-symmetric if 𝐶𝑇=−𝐶CT=−C.Let 𝐴A be an 𝑛×𝑛n×n square matrix. Set 𝐵=12(𝐴+𝐴𝑇)B=12(A+AT) and 𝐶=12(𝐴−𝐴𝑇)C=12(A−AT).(a) (4 marks) Show that 𝐵B is a symmetric matrix... more

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Linear Algebra

10/16/20

: You are given the vectors u = (2, 1, 1, 2) and v = (3, 2, −1, 2). Find the values of t such that u · (u + tv) = 16

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Linear Algebra

10/16/20

Find the point X which divides the segment between A(2, 3) and B(5, 8) into a ratio of 1 : 3.

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Linear Algebra

10/14/20

A 3×3 matrix 𝐴 has det(𝐴)=2020. Find det(Adj(𝐴)).

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Linear Algebra Math

10/12/20

Math Linear Algebra

Find all values of k for which the vectors[1, 1, 1, 1], [1, 2, 3, k], [1, 4, 9, k^2], [1, 8, 27, k^3]are linearly dependent.

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Linear Algebra

10/12/20

An n×n matrix A has a fixed point if there is a vector v in Rn with A*v = v.

1)Show that every such A has at least one fixed point. 2) The identity matrix has infinitely many fixed points. For all arbitrary 2 × 2 matrices A, show that if A has two distinct fixed points v... more

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Linear Algebra

10/12/20

Help please! Linear algebra

273 students enrolled in a freshman level chemistry class. By the end of the semester, 6 times the number of students passed as failed. Find the number of students who passed, and the number of... more

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Linear Algebra

10/11/20

In the year 1989, an investment was worth $30200. In the year 1996, this investment was worth $35800. What is the value and rate of this investment?

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Linear Algebra

10/10/20

Linear Algebra Notes and Confusion.

Hi, while reading the beginning of the notes in my linear algebra section I immediately hit a wall of confusion. (I've been googling on this and can't find out how he did this.) In the notes (which... more

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Linear Algebra Proofs

10/08/20

Order 8 of the following sentences so that they form a direct proof of the statement: 𝐴 is a square matrix. Prove that if 𝐴2=𝐴, then either 𝐴=𝐼 or 𝐴 is singular.

Order 8 of the following sentences so that they form a direct proof of the statement:A is a square matrix. Prove that if , then either or is singular.Options: Let A be an m×n matrix. Assume... more

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Linear Algebra Proofs

10/08/20

Order 6 of the following sentences so that they form a proof by CONTRAPOSITIVE of the statement: 𝐴 is a square matrix. Prove that if 𝐴^2=𝐴, then either 𝐴=𝐼 or 𝐴 is singular.

Order 6 of the following sentences so that they form a proof by CONTRAPOSITIVE of the statement: 𝐴 is a square matrix. Prove that if , then either or is singular.Options: Let A be an m×n... more

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Linear Algebra Proofs

10/08/20

Order 9 of the following sentences so that they form a proof by induction of the statement: 1^2+2^2+3^2+...+𝑛2=𝑛(𝑛+1)(2𝑛+1)/6 for all natural numbers n.

Order 9 of the following sentences so that they form a proof by induction of the statement:12+22+32+...+𝑛2=𝑛(𝑛+1)(2𝑛+1)/6 for all natural numbers n.Options We will proceed by induction to prove... more

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Linear Algebra Proofs

10/08/20

Order 8 of the following sentences so that they form a proof by induction of the statement: 2^𝑛>4𝑛 for 𝑛>4.

Order 8 of the following sentences so that they form a proof by induction of the statement: 2n>4n for 𝑛>4.Options: Base Case: n=5 Inductive Hypothesis: Assume 2k>4k LHS: 25=32, RHS:... more

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Linear Algebra

10/08/20

Which of the following is my assumption in order to do a proof by CONTRAPOSITIVE?

Consider the following statement: If an m x n matrix A is the zero matrix, then it is made entirely of zeros and makes students happy."Which of the following is my assumption in order to do a proof... more

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Linear Algebra Algebra

10/07/20

What is the price per ticket for a student ticket?

A movie theater advertises that a family of two adults, one student, and one child between the ages of 3 and 8 can attend a movie for $15. An adult ticket costs as much as the combined cost of a... more

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Linear Algebra

10/07/20

A is a matrix such that 𝐴^2+3𝐴−𝐼=0. Show that 𝐴 is invertible.

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The population of a small town is growing at a constant rate. (Please show me step by step)

What is the common difference in the arithmetic sequence -3, -1, 1, 3

Linear Relationships in Point Slope Forn

determine the complex solutions of the equation

determine the complex solutions of the equation

What is the area of triangle bounded by the x-axis, the y-axis, and the line y=−4x+4?

Can you help me create a linear model?

Find the matrix that performs this translation.

Find all values of c1 and c2 such that: c1(2, 2, 1) + c2(1,-2,2) = (3,6,0)

Proofs for symmetric matrices and skew-symmetric matrices

: You are given the vectors u = (2, 1, 1, 2) and v = (3, 2, −1, 2). Find the values of t such that u · (u + tv) = 16

Find the point X which divides the segment between A(2, 3) and B(5, 8) into a ratio of 1 : 3.

A 3×3 matrix 𝐴 has det(𝐴)=2020. Find det(Adj(𝐴)).

Math Linear Algebra

An n×n matrix A has a fixed point if there is a vector v in Rn with A*v = v.

Help please! Linear algebra

In the year 1989, an investment was worth $30200. In the year 1996, this investment was worth $35800. What is the value and rate of this investment?

Linear Algebra Notes and Confusion.

Order 8 of the following sentences so that they form a direct proof of the statement: 𝐴 is a square matrix. Prove that if 𝐴2=𝐴, then either 𝐴=𝐼 or 𝐴 is singular.

Order 6 of the following sentences so that they form a proof by CONTRAPOSITIVE of the statement: 𝐴 is a square matrix. Prove that if 𝐴^2=𝐴, then either 𝐴=𝐼 or 𝐴 is singular.

Order 9 of the following sentences so that they form a proof by induction of the statement: 1^2+2^2+3^2+...+𝑛2=𝑛(𝑛+1)(2𝑛+1)/6 for all natural numbers n.

Order 8 of the following sentences so that they form a proof by induction of the statement: 2^𝑛>4𝑛 for 𝑛>4.

Which of the following is my assumption in order to do a proof by CONTRAPOSITIVE?

What is the price per ticket for a student ticket?

A is a matrix such that 𝐴^2+3𝐴−𝐼=0. Show that 𝐴 is invertible.

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