Homework Statement
How do I determine the distance between the parallel planes
2x-4y+ 2z = 5 and -2x+4y-2z= -9: ___?
Homework Equations
The Attempt at a Solution
I got 1/4, but I think that is wrong. Any help would be great!
Homework Statement
If a 4x4 matrix A with rows v1, v2, v3 and v4 has determinant detA =-2
then
then det (v1, 9v2+5v3, 5v2+8v3, v4) =___?
Homework Equations
The Attempt at a Solution
Ok, so I think it should be -18 (since 9 x -2). I mean the determinant should not change...
Homework Statement
If the determinant of a 3 x 3 matrix A is det(A) = 10, and the matrix B is obtained by multiplying the third row by 8, then det(B) = ___?
If the determinant of a 5 x 5 matrix A is det(A) = 9, and the matrix C is obtained from A by swapping the second and fourth rows, then...
Homework Statement
So, if the problem asks...
Find the elementary matrices such that the respective matrix equation holds...what do I do?
[_ _ _] [4 4 -1] [4 4 -1 ]
[_ _ _] [4 -1 -5] = [4 -1 -5]
[_ _ _] [-4 1 4] [-12 3 12]
Does this mean to find a...
How do I work with a matrix like this??
Homework Statement
How do I go about solving a matrix like this:
[ 3e^4t -2e^3t ]
[ 4e^4t -5e^3t ]
Like how would I get the determinant and stuff? Do I avoid the exponent looking things, or get rid of them somehow??
Please help...
Homework Statement
If A =
[ -4e^4t sin(9t) -4e^5t cos(9t) ]
[ 4e^4t cos(9t) 4e^5t sin(9t) ]
then what would A^-1 be?
I think I am mainly confused with the cos's and sin's...and all that other junk...since I know how to get the inverse of a regular matrix!
Thank you...
Let A =
[ -3 9 ]
[ -1 3 ]
Find two 2x2 matrices B and C, such that AB = AC BUT B does not equal C.
I am stumped, but I am trying inverses and such, with no luck :(
Any insight would be great!:wink:
Homework Statement
If A =
[ -4e^4t sin(9t) -4e^5t cos (9t) ]
[ 4e^4t cos (9t) -4te^5t sin (9t) ]
then A^-1 =
[ ___ ___ ]
[ ___ ___ ]
Homework Equations
how do you deal with the exponents?
The Attempt at a Solution
Put into RREF, and then see what the inverse is?
Homework Statement
Let A =
[ 3 2 ]
[ 6 7 ]
Find the following:
(a) det (A) = __
(b) the matrix of cofactors C = (__, __) (__, __)
(c) adj (A) = (__, __) (__, __)
(d) A^-1 = (__,__) (__, __)
Homework Equations
I am just not to familiar with what cofactor means, and...
Hey,
Just stumbled into some linear algebra questions in my textbook...that I can't quite seem to work out...
Prove or disprove the following statements concerning 2 x 2 matrices:
1) If A^2 - 3A- 2I = 0 then (A-1) and (A-2I) are both invertible.
(so I got the determinant to be 0...
Linear algebra question...
Hello again!
Ok...so if I let A =
[0 1 0 ]
[1 1 -2]
[2 3 -3]
How would I find A^-1? Is that the notation for inverse?
Also, could I express A^-1 as a product of at most five elementary matrices? What does this mean exactly?
Thanks!:smile:
Ok...
Firstly, thank you everyone for responding...
Secondly, I am still not getting how to determine all the values of K, so that the matrix (call it A) is the augmented matrix of a system with infinitely many solutions. How would I find all values of K?
I understand that I need to row...
How would one determine the values of k such that the following matrix is the augmented matrix of a system with infinitely many solutions:
[ (k + 2) -2 1 | 2 ]
[ (k + 3) (k+ 3) 2 | 2 ]
[ (k + 2) -2 (k -1 ) | -3 ]
Also, how would I get all values of k such that the matrix for the...