Tutors Answer Your Questions about Linear Algebra (FREE)
Question 39593: Question; Determine whether or not W is a subspace of R3, with justification (general proof).
W={(x,y,x+y); x and y are real)}. I have a trouble in proving(in general, not specific numbers) the closure axioms(addition and scalar multiplication). Please help!
Click here to see answer by cininnatus(12)  |
Question 39572: Proof of a singular matrix:
I need to show (in general) that either matrix A is "singular" or "A^2 = A^(-1)". A is an n*n square matrix such that A^4 = A. I want to know how to do this problem and what happens if the exponent values are different.(for example, odd number exponents?)
Click here to see answer by venugopalramana(3286) |
Question 40449: I posted a question just a few minutes ago and Nate answered it but he didn't exactly answer what I am looking for. My slope is 2/3 but how do I get this into y=mx+b format. The question is Line 2 is perpendicular to a line that passes through the points (4,-3) and (-2,6). I know that the slope is 2/3 but how do I get this into y=mx+b?
Click here to see answer by smik(40) |
Question 40520: Last one:
Let T:R^n --> R^m be a linear transformation, and let {v1, v2, v3} be a linearly dependent set in R^n. Prove that the set {T(v1), T(v2), T(v3)} is linearly dependent.
I have proved it closed under addition and scalar multiplication, but am not sure if this is correct? Should I be looking at the trivial solution?
Thank you!
Click here to see answer by kev82(151) |
Question 42660: Give the equation or other information on for a parabola, find the matching discription or graph.
f(x)-a(x-h)2+k the 2 after ) is square
a is less than 0
h is equal to 0
choices:
a. the graph of f(x) does not intersect x-axis
b. you can not tell from the information given
c. the graph of f(x) interescts the x-axis at one point
d. the graph of f(x) intersects the x-axis at two points
Click here to see answer by Nate(3500) |
Question 42821: The perimeter of a rectangle is given by p=2w+2h where w is the width and h is the height. Find the height if the perimeter is 52 inches and the width is 14 inches. I have worked the question out and came up with 13in. Would like to know if this is right. Thanks again for any help.
Click here to see answer by josmiceli(19441)  |
Question 45541: In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of riders of 800 per day. The bus company charges $2.25 for a ride. They conducted a survey of their customers and found that they will lose approximately 40 customers perday for each $.25 increase in fare.
Given the description above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph you have drawn, and also the domain and range of the entire function excluding unrealistic values.
Click here to see answer by Nate(3500) |
Question 45785: it is approximately 480 miles from Los Angeles california to San Francisco, California. Allowing for various road conditions, a driver can average approximately 60 miles per hour.
a)Write a linear function that expresses the distance traveled ,d, as a function of time,t
Answer:
Click here to see answer by checkley71(8403) |
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