Write the given matrix equation as a system of linear equations without matrices.

BolkowN
2021-02-12
Answered

Write the given matrix equation as a system of linear equations without matrices.

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asked 2021-09-18

Find an explicit description of Nul A by listing vectors that span the null space.

asked 2021-09-13

Assume that A is row equivalent to B. Find bases for Nul A and Col A.

asked 2021-06-13

For the matrix A below, find a nonzero vector in Nul A and a nonzero vector in Col A.

$A=\left[\begin{array}{cccc}2& 3& 5& -9\\ -8& -9& -11& 21\\ 4& -3& -17& 27\end{array}\right]$

Find a nonzero vector in Nul A.

$A=\left[\begin{array}{c}-3\\ 2\\ 0\\ 1\end{array}\right]$

Find a nonzero vector in Nul A.

asked 2022-07-02

An Eigenvector is nothing more than a vector that points to some place. This pointing vector will then be invariant under linear transformations.

Now my questions:

- Ok so this vector is invariant. So what? (in my case for attitude determination algorithm I even less understand what this could give me as useful information)

- how does a simple $4\times 4$ matrix actually represent a transformation?

Now my questions:

- Ok so this vector is invariant. So what? (in my case for attitude determination algorithm I even less understand what this could give me as useful information)

- how does a simple $4\times 4$ matrix actually represent a transformation?

asked 2021-12-05

Construct a matrix whose column space contains (1, 1, 5) and (0, 3.1) and whose nullspace contains (1, 1, 2).

asked 2022-05-27

How to do this question in regards of matrices and transformation?

asked 2022-07-06

Question that asks me to describe a vector x that satisfies:

$T(x)=\left[\begin{array}{c}-8\\ 9\\ 2\end{array}\right]$

Gven matrix:

$A=\left[\begin{array}{ccc}1& 3& 1\\ -2& 1& 5\\ 0& 2& 2\end{array}\right]$

also aware that T(x) = Ax. I would like to know the general process for finding what x is when given the output vector and a matrix to be multiplied by the unknown input vector x.

$\left[\begin{array}{cccc}1& 0& -2& 0\\ 0& 1& 1& 0\\ 0& 0& 0& 1\end{array}\right]$

I have tried putting the augmented matrix in reduced row echelon form above, but I am not sure where to go from there.

$T(x)=\left[\begin{array}{c}-8\\ 9\\ 2\end{array}\right]$

Gven matrix:

$A=\left[\begin{array}{ccc}1& 3& 1\\ -2& 1& 5\\ 0& 2& 2\end{array}\right]$

also aware that T(x) = Ax. I would like to know the general process for finding what x is when given the output vector and a matrix to be multiplied by the unknown input vector x.

$\left[\begin{array}{cccc}1& 0& -2& 0\\ 0& 1& 1& 0\\ 0& 0& 0& 1\end{array}\right]$

I have tried putting the augmented matrix in reduced row echelon form above, but I am not sure where to go from there.