<PRE><B>Question 389009</B>
Finding the determinant:

M[5,1,2:8,0,-4:4,1,3]

Setup the determinant by breaking it into smaller components.
-(1)M[D,8,-4:4,3]+0M[D,5,2:4,3]-(1)M[D,5,2:8,-4]

The determinant of a 2x2 matrix can be found using the formula M[D,a,b:c,d]=ad-cb
-(1)((8)(3)-(4)(-4))+0M[D,5,2:4,3]-(1)M[D,5,2:8,-4]

Simplify the determinant.
-40+0M[D,5,2:4,3]-(1)M[D,5,2:8,-4]

Since the matrix is multiplied by 0, the determinant is 0.
-40+0-(1)M[D,5,2:8,-4]

The determinant of a 2x2 matrix can be found using the formula M[D,a,b:c,d]=ad-cb
-40+0-(1)((5)(-4)-(8)(2))

Simplify the determinant.
-40+0+36

Simplify the expression.
Answer= -4



Or.....if you want to trapose the matrix:



M[5,1,2:8,0,-4:4,1,3]

Transpose the matrix by moving element 0,0 in the original matrix to element 0,0 in the transposed matrix.
M[5,1,2:8,0,-4:4,1,3]-&gt;M[5,&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;:&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;:&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;]

Transpose the matrix by moving element 0,1 in the original matrix to element 1,0 in the transposed matrix.
M[5,1,2:8,0,-4:4,1,3]-&gt;M[5,&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;:1,&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;:&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;]

Transpose the matrix by moving element 0,2 in the original matrix to element 2,0 in the transposed matrix.
M[5,1,2:8,0,-4:4,1,3]-&gt;M[5,&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;:1,&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;:2,&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;]

Transpose the matrix by moving element 1,0 in the original matrix to element 0,1 in the transposed matrix.
M[5,1,2:8,0,-4:4,1,3]-&gt;M[5,8,&lt;B&gt;1&lt;b&gt;:1,&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;:2,&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;]

Transpose the matrix by moving element 1,1 in the original matrix to element 1,1 in the transposed matrix.
M[5,1,2:8,0,-4:4,1,3]-&gt;M[5,8,&lt;B&gt;1&lt;b&gt;:1,0,&lt;B&gt;1&lt;b&gt;:2,&lt;B&gt;1&lt;b&gt;,&lt;B&gt;1&lt;b&gt;]

Transpose the matrix by moving element 1,2 in the original matrix to element 2,1 in the transposed matrix.
M[5,1,2:8,0,-4:4,1,3]-&gt;M[5,8,&lt;B&gt;1&lt;b&gt;:1,0,&lt;B&gt;1&lt;b&gt;:2,-4,&lt;B&gt;1&lt;b&gt;]

Transpose the matrix by moving element 2,0 in the original matrix to element 0,2 in the transposed matrix.
M[5,1,2:8,0,-4:4,1,3]-&gt;M[5,8,4:1,0,&lt;B&gt;1&lt;b&gt;:2,-4,&lt;B&gt;1&lt;b&gt;]

Transpose the matrix by moving element 2,1 in the original matrix to element 1,2 in the transposed matrix.
M[5,1,2:8,0,-4:4,1,3]-&gt;M[5,8,4:1,0,1:2,-4,&lt;B&gt;1&lt;b&gt;]

Transpose the matrix by moving element 2,2 in the original matrix to element 2,2 in the transposed matrix.
M[5,1,2:8,0,-4:4,1,3]-&gt;M[5,8,4:1,0,1:2,-4,3]

Transpose the matrix by turning all rows in original matrix to columns in the transposed matrix.
M[5,8,4:1,0,1:2,-4,3]  ( The : represents the split in the column  )

I added this, but I believe that you were looking for the answer within the first solution above (determinant)</PRE>