811 Answered Questions for the topic linear algebra

Linear Algebra

23h

#### Determine if the line (𝑙) and the plane (𝛼)are parallel or perpendicular. (𝛼):2𝑥+𝑦−2𝑧=3 (𝑙): x=2t+1, y=-2t-2, z=t+1

#### Any insight on how to solve this problem will be greatly appreciated.

Find the inverse of f(x)=|x-3|. State whether or not the inverse is a function. If it is not, what do we need to do to make it a function.

Linear Algebra

1d

#### Determine if the line (𝑙) and the plane (𝛼)are parallel or perpendicular. (𝛼):2𝑥+𝑦−2𝑧=3 (𝑙): x=2t+1, y=-2t-2, z=t+1

2d

#### 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...
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Linear Algebra

2d

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

2d

#### 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...
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Linear Algebra

5d

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

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?

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...
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7d

#### 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...
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Linear Algebra

10d

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

Linear Algebra Algebra 1

11d

#### 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...
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Linear Algebra

12d

#### : 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

Linear Algebra

12d

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

Linear Algebra

14d

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

Linear Algebra Math

15d

#### Math Linear Algebra Question

Can someone help with this question please. Prove that |iw−3| = |iw+3| if and only if w is real.

Linear Algebra Math

15d

#### 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.

Linear Algebra

16d

#### 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...
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Linear Algebra

16d

#### 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...
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Linear Algebra

16d

#### Elementary Matrices

When you are finding all of the elementary matrices that must be multiplied by a matrix M such that E1E2E3M=M*(RREF) Does it matter if the path you took to get Matrix M to RREF matter?what I'm...
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Linear Algebra

16d

#### 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?

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

18d

#### 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...
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Linear Algebra Proofs

19d

#### 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...
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Linear Algebra Proofs

19d

#### 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...
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