Tutors Answer Your Questions about Linear Algebra (FREE)
Question 7540: The period of a simple pendulum is directly proportional to the
square root of its length. If a pendulum has a length of 6 feet and a
period of 2 seconds, to what length should it be shortened to achieve
a 1 second period?
Click here to see answer by Earlsdon(6287)  |
Question 7538: Express the following statement as a formula with the value of the
constant of proportionality determined with the given conditions: w
varies directly as x and inversely as the square of y. If x = 15 and
y = 5, then w = 36.
Click here to see answer by Earlsdon(6287) |
Question 7629: I have tried this over and over and can't figure out what I did wrong. I know that it is a simple mistake. Here we go: I am solving for both x & y.
5x+y=54 4x-y=36
I combined like terms and then (divided both sides by 9) Answer x=10
How do I solve for y?
What am I missing?
Click here to see answer by prabhjyot(164) |
Question 7933: Hi everyone, I have a few questions about matrices. I usually bounce these off a classmate, but he's no there this week. Thanks for any help you can provide.
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Is it always possible using the elementary row operations for matrices to transform any square matrix into echelon form with all 1's along its main diagonal?
Can you take any two matrices and add them, subtract them and multiply them together?
Is it possible to divide two matrices?
Click here to see answer by khwang(438) |
Question 8082: My text(Anton Elem. L.Alg 8th ed) states on pg. 44 "If A is a square matrix, then we define the nonnegative powers of A to be... A^0 = I" So a matrix to the zeero power is the identity matrix. Is this true for ALL matricies, including a zero matrix.
i.e. is [0]^0=[1]? My Ti-92 says it it is, but 0^0 is not 1. Why?
Click here to see answer by khwang(438) |
Question 7732: The degree three polynomial f(x) with real coefficients and leading
coefficient 1, has 4 and 3 + i among its roots. Express f(x) as a
product of linear and quadratic polynomials with real coefficients.
Click here to see answer by khwang(438) |
Question 8896: 1; let v be the space of all polynomials over a field F of degree less or equal to 3
let D be a diff. operator from v to v
1; find the matrix A of D with respect to the basis {1,,x,x.x,x.x.x} of v .
Click here to see answer by khwang(438) |
Question 9376: If xy=-3 and x2+ y2=12 then (x-y)2=?
note: the "2" behind the varibles mean squared. and the (x-y)2 means squared.
thanks
Dean
xy=-3
2xy=-6
x2+y2=12
x2+y2-2xy=12-2xy
(x-y)2=12-*-6
(x-y)2=12+12
(x-y)2=24
Click here to see answer by jawaidak(3) |
Question 11165: It's been about 2 years since I have done any math and now I'm taking college algebra but I have forgotten how to do some of the stuff. The main problem I can't figure out at the moment is: a line is vertical and passes through the point (5,2). I know that the line crosses the x-axis on the 5 but I can't figure out the slope or how to put it in the form of y=mx+b.
Click here to see answer by Earlsdon(6287) |
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