The lecturer said that a way to find the determinant of a matrix is(adsbygoogle = window.adsbygoogle || []).push({});

to do the following

det(A) = xdet(B) (1)

where A is the original matrix, B is an arbirtray matrix and x is a scalar multiplier

The lecturer also said that a simple way to find the determinant of a high dimension matrix (say a 3x3) is to put it into upper triangular form and then multiply the diagonal values (which is essentially the determinant of the triangular matrix)

Using the knowledge and the forumla given in (1), how can we determine the best value for x ?

Is it just random guess or is there a logic behind it ?

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# Determinants of higher dimension matrices

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