short help: need an intermediate step in finding determ. of matrix

[summer2016]

Hello,

what is an intermediate step

from

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to:

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[Deleted member 4993]

Hello,

what is an intermediate step

from

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to:

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What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

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[stapel]

What is an intermediate step

from

\(\displaystyle A\, =\, \left[\begin{array}{cccccccccc}-1&1&\,&\,&\,&\,&\,&\,&\,&\, \\ \,&-2&2&\,&\,&\,&\,&\,&\,&\, \\ \,&\,&\,-3&3&\,&\,&\,&\,&\,&\, \\ \,&\,&\,&\,&\,&\,&\,&\,&\,&\, \\ \,&\,&\,&\,&\,&\,&\,&\,&\,&\, \\ \,&\,&\,&\,&\,&\,&-(M\, -\, 2)&(M\, -\, 2)&\,&\, \\ \,&\,&\,&\,&\,&\,&\,& -(M\, -\, 1)&(M\, -\, 1)&\, \\ 1&1&1&1&1&1&1&1&1&1 \end{array}\right]\)

to:

\(\displaystyle \det(A)\, =\, \left|\begin{array}{cccccccc}-1&1&\,&\,&\,&\,&\,&\, \\ \,&-2&2&\,&\,&\,&\,&\, \\ \,&\,&\,&\,&\,&\,&\,&\, \\ \,&\,&\,&\,&\,-(M\, -\, 1)&(M\, -\, 1)&\, \\ 0&0&0&0&0&0&0&M \end{array} \right|\)

Going from writing the matrix to writing the determinant of the matrix mostly involves copying the matrix, but with absolute-value bars instead of square brackets. Surely you mean something else?

Please reply with the actual text of the exercise (such as the instructions, specifying what you are supposed to be doing here; and the actual [matching!] sizes of the matrix and determinant; etc.), along with a clear listing of your thoughts and efforts so far, so we can try to figure out what you're needing. Thank you!