Hello everyone...
I have the following matrix:
A =
-1 -4 1
7 -9 0
10 3 -3
-9 1 2
I can't row reduce this sucker! This isn't an agumented matrix i don't think, so i can't just take the square matrix and then find the inverse and mutliply it by vector b to find the values of a, b, c, d; So...
Hello everyone, I would rather find the cofactors and find the determinant than row reducing this, but is it possible, its not square! But our teacher is acting like its possible, so it must be! here is the equations:
x+y+z = 4
2x-y+4z=9
3y-z = 1
so i got:
1 1 1 4
2 -1 4 9
0 3 -z 1...
How do you know, when you have to stop row-equivalent operations when you are trying to get a 'reduced row-echelon' form of a given matrix. Is it necessary to have all the columns with pivot element as 1 and rest as 0? do you need to continue the operation if you already have a all 0 row? I want...
I don't understand how one visualizes in row pictures of equations. There is an example in the book:
With A=I(the identity matrix)
1x+0y+0z= 2
0x+1y+0z= 3
0x+0y+1z= 4
They drew these in the xyz plane. I don't know how they did this, can someone explain me that?
I am working with the following equation:
|1 -2 3|
|6 -11 15|
|4 -14 21|
a. add -4 time Row1 to Row 3
b. add -6 times Row 1 to Row 2
c. add 6 times Row 2 to Row 3
d. multiply row 3 by -1/9
I have come up with the following answer:
|24 -48 72|
|180...
My sister has horrible allergies which cause her to sneeze mulitiple times. Once she sneezed 36 times in a row! My question is why do we sneeze and why do some people sneeze a ridiculous number of times? Is it true that sneezing kills brain cells? Does it kill more brain cells if you hold it...
"innocent people on death row"
I constantly hear that the greatest argument against capital punishment is "there are people on death row right now who are innocent". Now what is the proof/de-bunking proof to this statement and idea?
There are so many concepts going on in my linear algebra class. Could someone help me understand what they mean? Particularly: vector space, subspace, column space, row space, dimension, basis, and rank. Thanks in advance!
In my homework problem, I am supposed to find out whether an element belongs to the rowspace of a matrix. So, what I did is to determine the (row)basis of the matrix, dimension of it being one row less of the rows of the original matrix. So, instead of the linearly-dependent row I put the...
I just want to confirm these two questions. Thanks in advance.
(1) Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix.
\left(\begin{array}{uvwxyz}1 & 5 & 2 & -6 & 9 & 0 \\0 & 0 & 1 & -7 & 4 & -8\\0 & 0 & 0 & 0 & 0 & 1\\0 & 0 & 0 & 0...
Ok well here goes.
what is teh chance of flipping a coin 10 times and getting either 10 heads or 10 tails. Once this is known, how many times would you expect to flip a coin before you get 10 in a row(I of course don't mean that after this number you would be guaranteed to get 10 in a row, i...
A King wants to pick his heir from among his 2 sons. They are to row their boats across the royal lake to the boathouse on the other side. The prince whose boat enters the boathouse first loses. Obviously, this puts the princes into a quandary, for they would gain by delaying for as long as...
Can anyone help me with this. I am asked to solve the following matrix with Row Red. Algorithm,
[ a 3 (1+a) | -a ]
[ 1 a 3 | -2a]
[ 1 1 1 | 0 ]
I get to something like
[ 1 1 1 | 0 ]
[ 0 a-1 2 | -2a]
[ 0 3-a 1 | -a]
but what do I do now?
i'm new to this forum and from first glance it seems like a great place to learn. i have a pretty simple question regarding dominos. if one was to set up an infinite row of dominos and knock over the first one, will the dominos fall for eternity, or will the energy decrease over time from loss...
Hi all,
one simple question.
You have two evenly long rows of dominos. In one row the dominos stand further apart than in the other. If you start both rows at the same time, which will be faster? My guess is the one with the stones closer because the dominos don't need to fall as deep as...
I understand why two of the three row operations do not change the solution set of a system:
1. Interchange two rows. (Doesn't make much difference in what order one decides to write down the linear equations does it?)
2. Multiply a row by a scalar. (This step doesn't change the solution...