1,953 Answered Questions for the topic linear algebra

Linear Algebra Math

08/01/25

Linear Algebra | Use pure elimination to solve

X Y Z W 1 -2 4 1 16 4 -2 2 1 8 2 1 4 1 36 -2 -1 -6 1 -54 3 2 1 1 23
Linear Algebra Math Geometry

06/14/25

How do I approach finding the slope of the third line?

Line l1 has equation 3x - 2y = 1 and goes through A (-1, -2). Line l2 has equation y = 1 and meets line l1 at point B. Line l3 has positive slope, goes through point A, and meets l2 at point C. The... more
Linear Algebra

05/09/25

Linear Algebra-Linear Transformations

Find the associated matrix (i.e. matrix with respect to the standard basis ) for the linear transformation on R2 representing reflection about the line 3y=4x followed by rotation by 3π ⁄2 radians... more
Linear Algebra Math

05/09/25

Linear Algebra- Gram-Schmidt Process

Consider the matrix A = ⌈1 1⌉1 91 -5⌊1 3⌋Use the Gram-Schmidt process to find a matrix Q with orthonormal columns {q1,q2} such that Im(Q)=Im(A)
Linear Algebra Math Calculus Physics

03/29/25

Ordinary Differential Equations question

As the engineer in charge of the calibration software, you are to create the correct algorithm to analyzethe desk on which the printer is. Let us focus on some part of this. Assume the machine is... more
Linear Algebra

03/19/25

Unable to come to same conclusion as text

I am working through a problem using linear regression. The data set I have identified advertising as the x value, and sales as the y value. However, I am unable to calculate the Syx to the same... more
Linear Algebra Math Trigonometry

02/18/25

Write the complex number z=(-1-√3i)^19 in polar form: z=r(cosθ+isinθ) where r =? and θ=? The angle should satisfy 0≤θ<2π

As the title states. I went through this problem myself and got r = 524288 and θ = 2π/3 , but that was not correct.
Linear Algebra

01/16/25

Write the equation in slope intercept form

slope: 4/5, y-intercept: -8

01/10/25

How do you solve an integral problem?

How to evaluate an integral which can be a definite integral or an indefinite inegral.
Linear Algebra

12/23/24

Equation of a linear function

What is the equation of a line that whose slope is -3 and passes through the point (1, -5)
Linear Algebra Math Calculus Precalculus

11/25/24

Evaluate the given improper integral

∫from 1 to 0 (e^(-1/x))/(x^2) PLEASE HELP ASAP. A VIDEO WOULD ALSO BE GREATLY APPRECIATED.
Linear Algebra Math Geometry

11/02/24

How to prove that 3 points are collinear

If A, B, C, D are four points such that(AB) ̅= 2A, (AC) ̅= 6b -2a, (AD) ̅= 3b, how can you prove that B,C,and D are collinear?
Linear Algebra Math Algebra 1 Algebra 2

09/30/24

Which of the following equations has the same solution as the equation? 18/x-3 = 2

A. 2x - 6 = 18B. 2x - 3 = 18C. x - 4 = 14D. x-3/18 = 2
Linear Algebra Math

09/29/24

Linear Algebra: Null Spaces

Problem Statement: One important feature of the Gramian A^T×A of a matrix A is that is has the same null space of A (i.e. Null(A^T×A) = Null(A)). Let A be an m by n matrix. a) Suppose v ∊... more
Linear Algebra Calculus

09/15/24

Gauss-Jordan Elimination Question

Problem: Suppose that a matrix A satisfies Arref [-9 -43 * -133 *] [1 0 5 0 1] [3 16 * 48 *] [0 1 -3 0 -2] ... more
Linear Algebra Calculus

09/15/24

Gauss-Jordan Elimination Problem

Hello,I am struggling to understand Gauss-Jordan Elimination. This question I believe is asking for me to apply the Rouche-Capelli Theorem. I would greatly appreciate your guidance on how to... more
Linear Algebra Math Calculus

09/09/24

Linear Algebra: Vector Geometry Question

Problem 1: Suppose ∥v∥ = 4 and ∥w∥ = 7. Use inner products to determine the largest and smallest possible values of ∥6 v − 5w∥. Hint. Start by expanding ∥6 v − 5 w∥ ^2. Hi. I would really... more
Linear Algebra Math Algebra 1 Algebra 2

09/02/24

Solving for x and y in a given matrix

How do I solve for x and y in the following:[2, 1, -3, 2] = [x+3, 1, -3, 3y-4](Note: for each determinant, the first two numbers are the top row.)
Linear Algebra Math Algebra 1 Algebra 2

09/02/24

Solving a matrix with x and y values

How would I solve for x and y in the given matrix problem in the attached image: https://ibb.co/BKJLCFq
Linear Algebra

08/28/24

The sum of three numbers is 78. The third number is 2 times the second. The first number is 6 less than the second. What are numbers

The sum of three numbers is 78. The third number is 2 times the second. The first number is 6 less than the second. What are numbers
Linear Algebra

08/15/24

Find the slope of a linear function given h(5)=7 and h(-3)=1

Find the answer plssss
Linear Algebra

08/13/24

Algebraic reasoning and modeling

A video game business finds there is a linear relationship between the number of games,n,it can sell and the price,p, it can charge per game. In particular, historical data shows that 1000 gamess... more

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