Matrix and determinants are actually very useful in engineering. I am going to give you a good personal example. I am a chemical engineering student, and when I took my final this past semester for my chemical processes class one of the problems had certain substances going into a reactor and came out of the reactor as different chemicals (they reacted). As part of the procedure used to determine the mass of the outcoming materials you do a mass balance (actually I did an atomic balance because atoms can not be created nor destroyed), in my mass balance I had three equations and two unknowns. At the time I was taking an engineering math course where I learned about matrices and determinants, therefore with what I learned I placed my equations as a "system of matrices" one on top of the others and reduced to "row echelon form" and was able to find all masses individual for each of the compounds. I hope this helped, and if you have any questions dont hesitate to consult with me....Chem Boy.
A determinant is defined only for square matrices, so a 2x3 matrix does not have a determinant.Determinants are defined only for square matrices, so a 2x3 matrix does not have a determinant.
The determinant function is only defined for an nxn (i.e. square) matrix. So by definition of the determinant it would not exist for a 2x3 matrix.
For a matrix A, A is read as determinant of A and not, as modulus of A. ... sum of two or more elements, then the given determinant can be expressed as the sum
The determinant of test is usually a scalar quantity. The determinant of a matrix is used to test whether a given matrix has an inverse or not. It is used to test for the linear dependence of the vectors.
1
The determinant will change sign.
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0 or 1
No. A square matrix has an inverse if and only if its determinant is nonzero.
The minor is the determinant of the matrix constructed by removing the row and column of a particular element. Thus, the minor of a34 is the determinant of the matrix which has all the same rows and columns, except for the 3rd row and 4th column.
diagonal