Hello everyone! I have a problem, it says Find hte values of k for which the matrix sysem Ax = b has no solutions. I got the answer for this one,(adsbygoogle = window.adsbygoogle || []).push({});

A =

6 2 2

-1 2 3

2 -6 k

b =

1

-3

0

I row reduced and ending up gettting:

6 3 0

0 -1 2

0 0 14-k

so k = 14, will give no solutions.

After that he says find:

Image space, nullspace, col space and row space, what are there dimensions, i also did this correctly.

But what happens if he changed the problem and said, Find the values of k for which the matrix system Ax = b has infitinatly many solutions or 1 unquie solution, then what would i do different? Thanks! I'm just trying to get all angles of this problem so i don't mess it up on the exam.

Also what if he puts k in the b vector insteed of the matrix A?

like

b =

-1

3

k

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# Find vlaues of k so matrix has no solutions, what if u change the position of k?

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