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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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Linear Algebra

10/07/20

A is a matrix such that 𝐴^2+3𝐴−𝐼=0. Show that 𝐴 is invertible and 𝐴^−1=𝐴+3𝐼.

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Linear Algebra Algebra 1 Critical Thinking

10/06/20

Algebraic equation

Here it is:Casper has 15 pencils. Kenny has an odd number of more pencils than Casper. If Kenny had the same amount of pencils as Casper, then he would have less than Jones. Jones has 2 1/2 times... more

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Linear Algebra

10/06/20

word problems with linear equations

A garden table and a bench cost $843 combined. The garden table costs $57 less than the bench. What is the cost of the bench?

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Linear Algebra Algebra 1 Linear Equations

10/04/20

Any one can solve it step by step

into echelon form and find the rank *Find a parametric solution for the system5w _ 2x + y _ z = 02w + x + y + z = _1_w + 3x _ y + 2z = 3

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Linear Algebra Math Algebra 1 Algebra 2

10/03/20

Exponential Modelling Question

A tour guide noticed that larger groups took more time to assemble for an event. The guide collected the data belowNumber of People 2, 3, 4, 5, 6, 7, 8, 9, 10Time to Assemble(Minutes) 2, 2.6, 3.4,... more

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Linear Algebra Math Algebra 1 Algebra 2

10/03/20

Exponential Modelling Question

Radium has a half-life of 1620 years. Suppose 3 g of radium is present initially. Complete the table. (Round ALL decimal answers to the nearest hundredth EXCEPT your answer for b which will need... more

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Linear Algebra Math Algebra 1 Algebra 2

10/03/20

Exponential Modelling Question

In a study of the change in an insect population, there were about 170 insects four weeks after the study began and about 320 insects in week 6. Round your decimal answers to the nearest... more

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Linear Algebra Math Algebra 1 Algebra 2

10/03/20

Exponential Modelling Question

A CT scan shows that the patient has a 3 cm tumor. After 25 days, the size of the tumor has has increased to 5.9 cm. What is the growth rate?b = Answer (round to the nearest hundredth)Percentage... more

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Linear Algebra Math Algebra 1

10/02/20

What is the answer to Write an equation for the line in the given form. Contains the points (7, 6) and (9, 12); slope-intercept form

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Linear Algebra Math

10/02/20

Write an equation for the line in the given form. slope is −3 and (2, 6) is on the line;Write it in standard form

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Linear Algebra

10/01/20

𝐴,𝐵,𝐶 are 𝑛×𝑛 invertible matrices. Simplify (𝐴𝐶)^−1𝐴𝐵(𝐶𝐵)^−1𝐶

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Linear Algebra Math Algebra 1 Algebra 2

09/30/20

A car purchased for $20,160 is expected to depreciate according to the formula f(x) = −1920x + 20,160, where f(x)

A car purchased for $20,160 is expected to depreciate according to the formula f(x) = −1920x + 20,160, where f(x) is the value of the car after x years. After how many years will the car be... more

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Linear Algebra Math Algebra 2 Algebra

09/30/20

A small business predicts sales accord

A small business predicts sales according to a straight-line method. If sales were $40,000 in the first year and $160,000 in the third year, find the rate of growth in dollars per year (the slope... more

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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.

A is a matrix such that 𝐴^2+3𝐴−𝐼=0. Show that 𝐴 is invertible and 𝐴^−1=𝐴+3𝐼.

Algebraic equation

word problems with linear equations

Any one can solve it step by step

Exponential Modelling Question

Exponential Modelling Question

Exponential Modelling Question

Exponential Modelling Question

What is the answer to Write an equation for the line in the given form. Contains the points (7, 6) and (9, 12); slope-intercept form

Write an equation for the line in the given form. slope is −3 and (2, 6) is on the line;Write it in standard form

𝐴,𝐵,𝐶 are 𝑛×𝑛 invertible matrices. Simplify (𝐴𝐶)^−1𝐴𝐵(𝐶𝐵)^−1𝐶

A car purchased for $20,160 is expected to depreciate according to the formula f(x) = −1920x + 20,160, where f(x)

A small business predicts sales accord

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