1,975 Answered Questions for the topic linear algebra

Linear Algebra

09/29/21

Find the value of 𝜆 that makes the determinant 0. | 𝜆 +2 2| second-row -> |1 𝜆 |

Find the value of 𝜆 that makes the determinant 0. | 𝜆 +2 2| | 1 𝜆 |
Linear Algebra

09/29/21

Find the value of 𝜆 that makes the determinant 0. | 𝜆 +2 2| second-row -> |1 𝜆 |

Find the value of 𝜆 that makes the determinant 0. | 𝜆 +2 2| | 1 𝜆 |

09/25/21

Let f: A→B be a function, and X⊆A.Prove or disprove: f(f^−1(f(X)))=f(X).

More clearly written: Let f: A→B be a function, and X⊆A.Prove or disprove: f(f-1(f(X)))=f(X).I'm not sure where to even begin with this question...

Can I find a standard matrix when only two linear transformations are given?

Hi!I study linear algebra in Swedish so sorry if I get some of the words wrong.My question is, how do you find A when A*(1,1,1)=(1,0,1) and A*(1,0-1)=(1,1,2) where A is a 3x3 matrix.I know when... more
Linear Algebra

09/25/21

Find all values of a, b, and c for which A is symmetric.

A=[-2 a-2b+c 2a+b+c] [2 8 a+c ] [8 2 -4 ]How do I find a,b, and c?(please make your answer as detailed as possible because I find it hard to... more
Linear Algebra Algebra

09/24/21

Age problem having a difficult time understanding equations

Juwan is 3 years older than Erica. In 5 years the sum of their ages will be 53. How old is Juwan now?
Linear Algebra Math Algebra 1 Algebra 2

09/24/21

Need helping with correlation coefficents

Just need an explanation and work shown so I can understand how you worked through it so I can finish the rest of the assignment. I know this can also be done in excel but I was not exactly sure... more
Linear Algebra

09/23/21

Thru (-21,4) m=undef

Is this a vertical line or a horizontal line
Linear Algebra

09/22/21

linear function

find the linear function with the following propertiesf(0)=−6f(0)=-6Slope of f=5f=5f(0)=−6f(0)=-6Slope of f=5f=5 f(x)f(x) yy x2x2
Linear Algebra Math Algebra

09/22/21

Solve the system by inverting the coefficient matrix and using the following theorem:

If A is an invertible n x n matrix, then for each n x 1 matrix b, the system of equations A x = b has exactly one solution, namely, x = a^-1b. x + y + z = 3x + y - 2z = 6-2x + y + z = 0
Linear Algebra Math Algebra 1 Calculus

09/21/21

Arizona taxes problem.

The following is from the actual Arizona state tax table for 2020 taxes.A single person whose taxable income is between $0-$27,272 is charged 2.59% in tax.A single person whose taxable income is... more
Linear Algebra Calculus

09/20/21

Multivariable calculus

Find two non-zero vectors u and v in R3 such that {s u+ t v | s, t ∈ R} is a line in R3.
Linear Algebra Math Algebra 1 Calculus

09/20/21

Piecewise linear functions

Derek earns $25 per hour (or part of an hour) for a regular 40-hour work week. Sometimes, he works over 40 hours a week and earns “double time” for the extra hours worked. (That means that his... more
Linear Algebra

09/16/21

Linear Algebra Transformations

The linear transformation T : R2 → R2 given by T (x) =[3 42 3]x is one-to-one and onto.Let ~b =[cd]. Find the unique vector x so that T (b) = x. (The entries of x will be expressed interms of c and... more
Linear Algebra

09/15/21

When using partial fractions to find antiderivatives in calculus we decompose complicated rational expressions into the sum of simpler expressions that can be integrated individually.

The required decomposition is 64/(x(x^2+8))=(A/x)+(Bx+C)/(x^2+8) Find the values of the missing constants. A= 8 B= -8 C= ?
Linear Algebra

09/15/21

Determine all values of h and k for which the system has no solution.

−3x-3y=h-4x+ky=-1k = ?h ≠ ?
Linear Algebra

09/11/21

The quotient of a number and -5,increased by 7 is at minimum 1

Linear Algebra

09/10/21

Need Help with HW Problem

https://imgur.com/a/W3bCpeP [Link to problem and my solution thus far]I am pretty sure I found the distance correctly. For the second part, although I think it's right, I'm hesitant because it... more

Linear Differential Equations

Find the particular antiderivative that satisfies the following conditions:dx/dt=4e(^t)−2; x(0)=7.I know dx/dt of 4e^(t)-2 is 4e^(t)-2t, but I do not know what to do with the x(0)=7.
Linear Algebra

09/02/21

Systems of Linear Equations using row echelon form. Need help with Part 2.

Part 1: Verify that the following augmented matrices are in rref(row echelon form), identify the leading and the freevariables, then find all the solutions, if there are any, to the systems of... more
Linear Algebra

08/31/21

Find a basis of subspaces U and W

U = {(x1, x2, x3, x4) ∈ R 4 | x2 − x4 = 0 ∧ x1 = 0} ;W = {(x1, x2, x3, x4) ∈ R 4 | x2 = 0 = x3} ; Find a basis of subspaces U and W. Are the 2 subspaces complement to one another?Find a base of... more
Linear Algebra

08/28/21

Solve the inequality and explain the meaning of the solution

A meteorologist announces that yesterday’s high temperature was within 4° Celsius of 18° Celsius all across the country. Write an inequality that involves an absolute value to represent yesterday’s... more
Linear Algebra Math Algebra 1 Calculus

08/25/21

Vectors and the Geometry of Space

Consider the line L(t)=⟨4−3t,17+4t⟩. Then L intersects:1.The x-axis at the point.... when t =...2.The y-axis at the point..... when t =....3.The parabola y=x2 at the points..... and... when t... more

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